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   "source": [
    "#Churn Case Study\n",
    "\n",
    "##Introduction and Motivation\n",
    "<p>In this notebook we present an end-to-end analysis on a data mining task that is fairly common in the field. Most companies that provide subscription (whether free or not) services face the issue of customer churn. This is loosely defined as customers disengaging with the company's service, and in many cases, no longer paying for monthly or yearly fees. This issue is pervasise across industries (such as Telecom, Media, Music/Video Streaming, Gym Memberships, Credit Cards, Insurance, etc.), and it is common to find entire departments focusing on improving churn rates. \n",
    "\n",
    "<br><br>\n",
    "Churn reduction is a perfect environment for employing data mining techniques. Most companies maintain very detailed customer databases that host all of the data required to predict churn. An analysis of customer churn usually involves exploring the drivers of churn as well as predicting the likelihood. The goals are often multi-fold: on one level, predicting churn enables companies to proactively reach out to at-risk customers to prevent it. Additionally, understanding the drivers (re: causes) of churn gives valuable feedback for the company to improve the underlying product or service issues that may be causing customer dissatisfaction.\n",
    "\n",
    "<br><br>\n",
    "This notebook more than anything aims to illustrate a complete data mining workflow. Churn is the application but the emphasis here is on the steps one might take when perfoming a data mining task. There is Python code that generates the models and illustrations shown, but the emphasis here is more on the process than the code, so the code will mostly be hidden behind unexposed functions. We also provide generous discussion on how the results of the various analyses impact decisions one would make when focusing on churn reduction. \n",
    "</p>\n",
    "\n",
    "##Outline\n",
    "<p> Using a relatively straightforward churn dataset, we cover the following steps:\n",
    "<ul>\n",
    "    <li>1. Problem Formulation</li>\n",
    "    <li>2. Data understanding and exploration</li>\n",
    "    <li>3. Model building and model selection</li>\n",
    "    <li>4. Evaluation</li>\n",
    "    <li>5. Deployment</li>\n",
    "</ul>\n",
    "\n",
    "</p>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "##Problem Formulation\n",
    "<p>The first thing we should, as this guides the design of the entire analysis, is define the problem more formally. We know in general we want to reduce churn for the telecom firm. This could be implemented in several ways across the firm. \n",
    "<br>\n",
    "<ul>\n",
    "    <li>Proactively reach out to customers with a high likelihood of churn.</li>\n",
    "    <li>Create a reactive strategy, where we triage customers who call in based on their likelihood to churn.  </li>\n",
    "    <li>Study the data to gain insights into drivers of churn.</li>\n",
    "</ul>\n",
    "<br>\n",
    "The first two use cases suggest that we need to be able to rank customers based on their churn risk. Given that we have a binary outcome of interest, we know that we can apply some form of supervised learning to solve this problem. An important question is, do we want to only just rank, or do we want to rank and compute probabilities of churn? The answer here has implications over what type of supervised algorithm we will use. \n",
    "<br><br>\n",
    "For our specific task, we're going to choose an algorithm that can produce probabiliy estimates of churn risk for each customer. This should not restrict us in any way that prohibits us from exploring multiple classes of algorithms. Additionally, being able to esimate probabilities offers us greater flexibility in incorporate our models into calculating any expected value of applying various intervention strategies. So to put it more formally, our tasks will be the following:<br>\n",
    "<ul>\n",
    "    <li>1. Use available data to build a supervised learning algorithm that estimates the likelihood of churn, $P(Churn|X)$</li>\n",
    "    <li>2. Develop insights using the model and data to inform business constituents about drivers of churn  </li>\n",
    "    <li>3. Develop a framework for incorporating our probability estimates into one or more intervention strategies to reduce overall churn.</li>\n",
    "</ul>\n",
    "\n",
    "</p>\n",
    "\n",
    "\n",
    "##Data Exploration\n",
    "\n",
    "<p>The first thing one should do when starting an analysis is understand the data. \"Data understanding\" can represent multiple things of course. Here are some common questions to ask when approaching a data set:\n",
    "<br><br>\n",
    "<b>How was the data sampled, collected and aggregated?</b><br>\n",
    "Unless you planned and executed every step of the data sampling, logging and transformation processes, you should always spend some time exploring this question. The best analyses can be sabotaged by poorly sampled and logged data, so a data scientist always needs to understand what biases may exist in the data. The data for this churn analysis is comprised of all churners + a subset of non-churners, sampled so that there is a roughly even distribution between the two groups. Each sampled customer is represented by a vector of predictors $X = <X_1, X_2, ..., X_k>$ and an outcome $Y$. \n",
    "<br><br>\n",
    "When creating a dataset for churn modeling and analysis, one has to be mindful of the future application of the results. I.e., we don't want to predict <i>past</i> churn, we want to predict potential <i><b>future</b></i> churn. In building a data set to predict future churn, one can sample customers today and wait some period of time to observe whether or not the consumer churns. While this is technically accurate, you might not want to wait what could be weeks or months to start the analysis. Additionally, you might want to study several cohorts of sampled customers so your analysis isn't biased towards any time/seasonal dependent factors that are happening at the moment. The other option then is to simulate the future by going into the past. The following scheme shows how this is done:\n",
    "</p>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
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   "outputs": [
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2tfRRbTixdy3db204lbRmdB7eu/tQZ9JoQ4/Qvr+MVFq778TQRQ2fBD2N1BkO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\ne2Twqz07VwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "Image(filename='../references/churn_sampling_scheme.png') "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "<p>The point \"t=now\" is the day you're doing the analysis. We need to go back in time and create a virtual present, which we call $t=0$. We then look backwards to aggregate the predictor variables, and we look forwards in time to observe churn. The above represents one cohort, but this can be replicated across multiple cohorts (or multiple dates considered $t=0$ to either get access to more data or build dataset that has less dependency on any single seasonal effect). \n",
    "<br><br>\n",
    "\n",
    "<b>What are the variables in the dataset?</b><br>\n",
    "This is a simple question with a lot of implication behind it. Before digging into the distribution of the variables, one should first understand what they are from a domain perspective. Technically, you can build a model having no qualitative understanding of the data set. This works fine in homework assignments or data mining competitions. In industrial settings however, having the contextual and qualitative understanding of the data is generally critical to conducting an effective analysis, and even more critical in communicating and applying the results. The following links to a schema for the dataset we'll be using:\n",
    "<br><br>\n",
    "<a href=\"https://github.com/briandalessandro/DataScienceCourse/blob/master/ipython/references/churn_dataset_info.pdf\">Churn Data Schema</a>\n",
    "<br><br>\n",
    "Each of the independent predictor variables represents either some static demographic of the customer, or a summary of some aspect of the customer's usage of a cellular phone service (where the summary ends at time $t=0$).\n",
    "<br><br>\n",
    "An important question to highlight at this point is: <i><b>why are we using these specific variables?</b></i>\n",
    "<br><br>\n",
    "The implications of this question are often the difference between a decent model and a great model. Separate from the more technical topic of variable selection, is the topic of feature engineering (note: a \"variable\" and a \"feature\" are generally the same thing, but the more common phrase is \"feature engineering\"). The variables in this dataset were conceived and programmed by someone, and this part of the process is as much art as it is science. Most data infrastructure systems are designed to accommodate fast, production-level transaction processing. Analytics and modeling is often a secondary consideration. A data scientist is often responsible for pulling raw, log-level data from the transaction systems and designing the feature engineering pipelines that turn raw data into modeling variables. Designing the right variables requires domain knowledge of the system and insight into the behavior one is trying to predict. In this case, we'll assume that someone with deep knowledge of the problem has designed these specific variables with the hypothesis that these would both be effective predictors and scalable to create. Data scientists often find themselves working with pre-existing modeling systems. A very common research question is what new variables can be added to the existing set to improve prediction performance (note: we won't actually be covering this question in this case study)?  \n",
    "<br><br>\n",
    "<b>What does the data look like?</b><br>\n",
    "This is where we start to explore the data from a quantitative perspective. More formally, we want to gain an understanding of the joint distribution of $X$ and $Y$ (because this is ultimately a predictive modeling problem, we follow convention and label the dependent variable/outcome $Y$). We'll focus here on three aspects of the joint distribution: 1). descriptive statistics of each variable, 2). covariance of the predictors, 3). covariance of each predictor with the outcome. Within each aspect we'll cover implications of the results. \n",
    "</p>\n",
    "\n",
    "###Descriptive Statistics\n",
    "\n",
    "<p>The first thing we'll do is look at descriptive statistics of the data. Common statistics to look at are the mean, variance, range, and distribution (via the various quantiles of the distribution).\n",
    "\n",
    "</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "      <th>missing</th>\n",
       "      <th>distinct</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>revenue</th>\n",
       "      <td>  58.633816</td>\n",
       "      <td>  44.142467</td>\n",
       "      <td>-5.86</td>\n",
       "      <td>  33.37</td>\n",
       "      <td>  48.37</td>\n",
       "      <td>  70.93</td>\n",
       "      <td>  861.11</td>\n",
       "      <td> 0</td>\n",
       "      <td> 11617</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>outcalls</th>\n",
       "      <td>  24.874208</td>\n",
       "      <td>  34.702038</td>\n",
       "      <td> 0.00</td>\n",
       "      <td>   3.00</td>\n",
       "      <td>  13.00</td>\n",
       "      <td>  33.33</td>\n",
       "      <td>  610.33</td>\n",
       "      <td> 0</td>\n",
       "      <td>   738</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>incalls</th>\n",
       "      <td>   8.011796</td>\n",
       "      <td>  16.626837</td>\n",
       "      <td> 0.00</td>\n",
       "      <td>   0.00</td>\n",
       "      <td>   2.00</td>\n",
       "      <td>   8.67</td>\n",
       "      <td>  519.33</td>\n",
       "      <td> 0</td>\n",
       "      <td>   434</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>months</th>\n",
       "      <td>  18.789332</td>\n",
       "      <td>   9.594723</td>\n",
       "      <td> 6.00</td>\n",
       "      <td>  11.00</td>\n",
       "      <td>  16.00</td>\n",
       "      <td>  24.00</td>\n",
       "      <td>   61.00</td>\n",
       "      <td> 0</td>\n",
       "      <td>    56</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>eqpdays</th>\n",
       "      <td> 391.935723</td>\n",
       "      <td> 255.609575</td>\n",
       "      <td>-5.00</td>\n",
       "      <td> 212.00</td>\n",
       "      <td> 341.00</td>\n",
       "      <td> 530.00</td>\n",
       "      <td> 1823.00</td>\n",
       "      <td> 0</td>\n",
       "      <td>  1396</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>webcap</th>\n",
       "      <td>   0.895456</td>\n",
       "      <td>   0.305968</td>\n",
       "      <td> 0.00</td>\n",
       "      <td>   1.00</td>\n",
       "      <td>   1.00</td>\n",
       "      <td>   1.00</td>\n",
       "      <td>    1.00</td>\n",
       "      <td> 0</td>\n",
       "      <td>     2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>marryyes</th>\n",
       "      <td>   0.365338</td>\n",
       "      <td>   0.481531</td>\n",
       "      <td> 0.00</td>\n",
       "      <td>   0.00</td>\n",
       "      <td>   0.00</td>\n",
       "      <td>   1.00</td>\n",
       "      <td>    1.00</td>\n",
       "      <td> 0</td>\n",
       "      <td>     2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>travel</th>\n",
       "      <td>   0.057101</td>\n",
       "      <td>   0.232039</td>\n",
       "      <td> 0.00</td>\n",
       "      <td>   0.00</td>\n",
       "      <td>   0.00</td>\n",
       "      <td>   0.00</td>\n",
       "      <td>    1.00</td>\n",
       "      <td> 0</td>\n",
       "      <td>     2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>pcown</th>\n",
       "      <td>   0.185378</td>\n",
       "      <td>   0.388609</td>\n",
       "      <td> 0.00</td>\n",
       "      <td>   0.00</td>\n",
       "      <td>   0.00</td>\n",
       "      <td>   0.00</td>\n",
       "      <td>    1.00</td>\n",
       "      <td> 0</td>\n",
       "      <td>     2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>creditcd</th>\n",
       "      <td>   0.675908</td>\n",
       "      <td>   0.468041</td>\n",
       "      <td> 0.00</td>\n",
       "      <td>   0.00</td>\n",
       "      <td>   1.00</td>\n",
       "      <td>   1.00</td>\n",
       "      <td>    1.00</td>\n",
       "      <td> 0</td>\n",
       "      <td>     2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>retcalls</th>\n",
       "      <td>   0.043955</td>\n",
       "      <td>   0.224172</td>\n",
       "      <td> 0.00</td>\n",
       "      <td>   0.00</td>\n",
       "      <td>   0.00</td>\n",
       "      <td>   0.00</td>\n",
       "      <td>    4.00</td>\n",
       "      <td> 0</td>\n",
       "      <td>     5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>churndep</th>\n",
       "      <td>   0.499285</td>\n",
       "      <td>   0.500006</td>\n",
       "      <td> 0.00</td>\n",
       "      <td>   0.00</td>\n",
       "      <td>   0.00</td>\n",
       "      <td>   1.00</td>\n",
       "      <td>    1.00</td>\n",
       "      <td> 0</td>\n",
       "      <td>     2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import sys\n",
    "sys.path.append(\"./utils/\")\n",
    "from course_utils import *\n",
    "import churn_analysis as churn\n",
    "from IPython.display import display, HTML\n",
    "reload(churn)\n",
    "\n",
    "data = pd.read_csv('/Users/briand/Desktop/ds course/hw/Cell2Cell_data.csv', header=0, sep=',')\n",
    "data_descr = churn.getDfSummary(data)\n",
    "HTML(data_descr.to_html())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "<p>Putting in tabular form is convenient and allows for easy comparison. The table here shows the descriptive statistics we discussed above, and also includes useful points such as count of missing values and the cardinality of the data. This last point is helpful for identifying which are binary variables. \n",
    "<br><br>\n",
    "<b>So what is the use of looking at this data?</b><br>\n",
    "Just glancing at the above, we can make the following observations of the data:\n",
    "<ul>\n",
    "    <li>The data contains no missing values. This is fortunate, but we're not always this lucky.</li>\n",
    "    <li>Two of the variables have records with negative values. There could be legitmate reasons for this, but intuitively this seems off and would be worth looking into. If discovered to be a data error, we may want to remove these records or replace the negative value with a more meaningful value.</li>\n",
    "    <li>The non-binary features are on different scales. This could be an issue with certain classification algorithms, and would require standardization prior to modeling.</li>\n",
    "    <li>Some of the variables (eqpdays, outcalls and incalls) are highly skewed (i.e., we see top quantiles and max that are much farther from the mean than the bottom quantile and min). If we need to use certain parametric classification algorithms (logistic regression, SVM), we may want to replace the existing variables with a few variable transformations (i.e., log(X), or binning).\n",
    "</ul>\n",
    "</p>\n",
    "\n",
    "###Variable Covariance\n",
    "<p>Another useful exploratory technique is to understand the correlation of the variables. If the dimensionality of the data is reasonable enough (a very subjective call admittedly), we can visualize the correlation matrix in a nicely intuitive way:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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sdwORMAMAADBPppk8+v9WTxvbbuiqFeV7Vl+uvr96f8NY6JNWnmAaEmYAAACmsmnD6ivM\nF37qk1346VN32KS65bLtWzZUmZc7uqGrdtVNqp+ormgY6/zlcf/Xqrc2dPGWMAMAADDfbnHHu3SL\nO1457PiTb/rLlU1OrQ6qDqwuqo6vfnFFmx9Ztv7K6h0NyfL1GiYDu6S6fvWA6vd2N1YJMwAAAFNZ\npzHM36ueUL23Ifl9RcOEX48bn3/pDo69afWWcX2v6nXV+3Y3EAkzAAAA8+Y947Lc9hLlxyxb/0J1\nxFoFIWEGAABgKutUYZ4bEmYAAACmsteCJcwbZx0AAAAAzCMVZgAAAKayaF2yVZgBAABgAhVmAAAA\nprJoFeaFSZj3+YGbzDqEubbPrAO4BtiwadOsQ5h7S5d9Z9YhzL+Nfo52ZuN+N5p1CHPvPrfwW3un\nTnv7rCOYe//v0AfNOoS5d9h+OmPuzIa99p51CLBHLUzCDAAAwOqoMAMAAMAEi5Yw62cCAAAAE6gw\nAwAAMBUVZgAAAECFGQAAgOmoMAMAAAAqzAAAAExn0SrMEmYAAACmsmgJsy7ZAAAAMIEKMwAAAFNR\nYQYAAABUmAEAAJiOCjMAAACwbgnzDatfX4fXuaA6YB1eBwAAYOFs2rBhzZd5tl4J842rx0/Yv9Zd\nwpfW+HwAAACMNm7YsObLPFuvhPl51W2qM6pPVCdVb6s+NT7/D9Wp4/avjvv+W/WHy87x6OpF4/ov\nV6eM5/vLdC0HAABgja1XovnU6p+rI6vfGh9/ozpkfP4x1Z2ru4z7b1y9ufrZZed4WPW31e3H9XuM\n59lSPXyPXwEAAMCC27Rh7Zd5tl6zZG9Ysf6J6l+X7XtS9ZBx/ZbVQWObL1R3q85vSK4/Wj2hOrqh\nIl113erf9lTgAAAALKZZ3Vbq28vWj6vuW929urT6ULXv+NwbGqrJ51VvWXbMq6vf3pUXfO4b37dt\n/d53uE3H3PE2uxozAADADp1w1nmdeNZ5sw5jj9m4YLeVWq+E+ZLqBtt5bv/qmw3J8iENifNWb62e\n0VCN/l/jvg82jH9+QfW1hlmx96v+344CePrxD9jN0AEAAKZz7J0O6dg7HbJt+7l/8/YZRsNqrVfC\n/PXq5Oqc6rtdtQv1PzZM8HVu9dnqY8ueu3jcf/uu7IL9mYYk+n0NY7CvaJiBe4cJMwAAAKsz77eB\nWmvr2SV7exNzXV795A6O+5kJ+/5uXFa69a4GBQAAwHTm/TZQa83tmAAAAGCCWU36BQAAwDXMvN8G\naq2pMAMAAMAEKswAAABMZdFuK6XCDAAAABOoMAMAADCVRZslW8IMAADAVEz6BQAAAKgwAwAAMJ1F\n65KtwgwAAAATqDADAAAwlU1uKwUAAACoMAMAADCVRRvDLGEGAABgKm4rBQAAAKgwAwAAMB1dsq+l\nvvUvX5x1CHPtsou/NesQ5t6+37f/rEOYewccfb9ZhzD3tuxzg1mHMPeuOO1Dsw5h7u192rtmHcL8\nO/qnZh3B3Dv/wu/MOoS597JT/n3WIcy9Z226dNYhwB61MAkzAAAAq7Not5WSMAMAADCVBcuXTfoF\nAAAAk6gwAwAAMJVNCzbplwozAAAA8+aB1XnV56unTnj+wdVZ1RnVadV9duHYqakwAwAAMJV1uq3U\npurF1f2qC6tPVm+vPrOszQeqt43rh1VvrW475bFTU2EGAABgnty1Or+6oLqiekNDRXm5by9b36/a\neh+4aY6dmgozAAAAU9m0PiXXW1RfXLb9pepuE9o9pPqD6mbVA3bx2KlImAEAAJjKWnTJPv1jH+n0\nj5+8oyZLU57qH8bl3tXfVIesMrSrkTADAACwbo760Xt11I/ea9v2K174hyubXFjdctn2LRsqxdtz\nUkNue8DYbleO3SEJMwAAAFNZp9tKnVodVB1YXVQdX/3iija3qb7QUI0+atz39eo/pjh2ahJmAAAA\n5sn3qidU722Y9foVDbNcP258/qXVz1ePbJjY61vVf9nJsbtFwgwAAMBU1um2UlXvGZflXrps/Q/H\nZdpjd4vbSgEAAMAEKswAAABMZZ1uKzU3JMwAAABMZR27ZM+F9fp+YGViLlEHAABgru0sYT6wOq96\nZfXZ6nXVA6qTq89VdxmXj1anj/sPHo99dPX26oPVB6pHrdh+dfXgZa/1uupB1QnVnZbt/0h1WHX9\n6q+rU8bXetD4/B3GfWdUZ1W3nebCAQAA2DUbNqz9Ms+mqfTepmHK7nOrTzbcx+qeDQnrb1ePqO5d\nba7uV/1+9QvjsUc2JLsXNyTQy7ePqZ5cva26YfWj47luNLZ9ckPyvU91znjeD1a/MrY5pSHxflz1\nwur14/WoXgMAALBq0ySX/1J9elz/dEOSWvWphgr0jaq/aajsLq045/sbkuPG5963bPvE6iXVTRoS\n7DdXW8bHZ1a/1ZAcv3Js/4DqZ6r/OW7vU92q+lj19OqHqrdU509xTQAAAOyijc15SXiNTZMwX7Zs\nfUt1+bL1vapnN1R+f7b64erDy9p/e8W5vrNi+zUNVeXjG6rKW9u8v3pI9dDqqGXtf676/IpznFd9\nvPrp6t0NFecPrbyIP3rfx7et3+M2P9Q9b/NDK5sAAACsyolnf64Tz/ncrMNgjay2+/KGav/qonH7\nMTtpu9KrGrp5X9SQ+G718uqdDeOZ/2Pc997qN6onjttHNoxbvnVDFfxFDRXnw5qQMP/WA+6+s2sB\nAABYlWMOP7hjDj942/ZzX//uGUaz9uZ9zPFam2aW7KUdbG+p/qj6g4aJuDYte35pRduV21VfbRgb\n/coV+09vSJSX7392tXd1dkN38N8b9z9s3D6jYQKw10xxTQAAAOyijRvWfplnO6swX1Advmz7Mdt5\n7nbL9j9zfHz1uLSd7arrVQdVf7ti/80bkvn3Ldt3afXfJsT4/HEBAACANbNe92Ge5H4N1eU/qy5Z\ntv+RDWOSf3sWQQEAADCZ20qtnw80zLK90mvSrRoAAIAZc89iAAAAprJot5WaZZdsAAAAmFsqzAAA\nAExl3sccrzUJMwAAAFOZ99tArTVdsgEAAGACFWYAAACmsmAFZhVmAAAAmESFGQAAgKlsXLBZv1SY\nAQAAYAIVZgAAAKayYAVmCTMAAADTWbQuyot2vQAAADAVFWYAAACmsmHB+mSrMAMAAMAEi/L1wNLl\nXz5/1jHMt42bZh3B3NtwxXdnHcLc+/ADHjnrEObem8/92qxDmHsv/NBzZx3C3Lviwn+edQhzb++b\nHTjrEObelm9dPOsQ5t4VX//3WYcw9/a55a1nHcLc2/f+v1LXnrxr6aJvfmvNT3rzG+9Xc/oeqTAD\nAADABMYwAwAAMJUFG8IsYQYAAGA6i9ZFedGuFwAAAKaiwgwAAMBU3FYKAAAAUGEGAABgOhsXq8Cs\nwgwAAACTqDADAAAwlQUrMEuYAQAAmI4u2QAAAIAKMwAAANNxWykAAABAhRkAAIDpGMO8Pi6oDpjR\nawMAAMBOzarCvNTizUgOAABwjbZoSdxqK8y/VT1xXH9B9cFx/T7Va6v7Vx+tTqv+rrr+smP/V3V2\ndUp1m3HfD1Zvrc4cl7uP+99anVp9qvrVZef4VvWn4/4PVDdZ5fUAAACwHRs3bFjzZZ6tNmE+sbr3\nuH7nhoR4r3Hf2dUzqvtVRzckzb+57NiLq8OrF1f/d9z3Z9WHqiOqo6pzx/2/Mp7/LtVvVDce91+v\n+mR1x+qE6v+s8noAAACgWn3CfHpDMnyD6tLqYw2J7b2q71aHVidXZ1SPrG617Ni/HR/fUP3ouP5j\n1V+M61uq/xzXn9RQcf5YdcvqoGVt3jiuv3Z8XQAAAPaADRvWfplnqx3DfEX1L9WjG7pen93QHfu2\n4/73V780xXmWlq2vfMuOq+7b0D370oYK9L4TzrFhxXmu4ll//MJt68fe424de4+7b68pAADAbjnh\nrPM68azzZh0Ga2QtJv06qfqf1WMaxhK/oKGb9MerP28Yn/zPDd21b159viG5Pb56/vj40fFcH6x+\nvXphtWk8Zv/qmw3J8iFdOa65hgr5QxuqzL80xjLR7/zPJ632OgEAAHbo2Dsd0rF3OmTb9nP/5u0z\njGbtbVjabo3yWmktbit1UnXThu7SX23oin1S9e8Nlee/rc5qSIpvNx6z1DAO+ayGScOePO5/UkO3\n7LMbJvm6ffWPDYn9udUfjK+z1beru1bnNFSin7UG1wMAAABrUmH+p2qfZdu3W7b+oYaEdqVbj49P\nW7H/q9VDJrT/yR28/lN2FiAAAABrYGnLer3SAxsmh95Uvbyhd/Jyh1SvrI6snl79ybLnLmiYD2tz\nwzDiSTnpVGZ1H+a1slj9AQAAAGZow/okzJsa7qZ0v+rChiG/b68+s6zN1xt6K08quC419ED+xmoD\nWYsu2bO0/6wDAAAAYE3dtTq/oVJ8RcOdlR68os3XGobxXrGdc6zJ/NvX9IQZAACA9bK0Ze2Xq7tF\n9cVl218a900dZfWBhoT6V3f7Wrvmd8kGAADg2mW1Q2/vWX25+v6GWx2f1w7uqLQjEmYAAACmswa3\nlTrhpI904kkf2VGTC6tbLtu+ZUOVeVpfHh+/Vr21oYu3hBkAAIA9aA0m/Tr2Xvfo2HvdY9v2c5+3\ncgLsTq0Oqg6sLqqOr35xO6dbOVb5eg2Thl1SXb96QPV7uxurhBkAAIB58r3qCdV7G5LfVzTMkP24\n8fmXVjdtmD17/2pL9aTq0OoHqreM7faqXle9b3cDkTADAAAwlXW6rVTVe8ZluZcuW/+3rtpte6tv\nVUesVRBmyQYAAIAJVJgBAACYzvpVmOeCCjMAAABMoMIMAADAdBaswixhBgAAYDoLljDrkg0AAAAT\nqDADAAAwnS0qzAAAALDwVJgBAACYyoYFG8O8MAnzJ49/zKxDmGuX/edlsw5h7t3gZvvNOoS59xdP\nefGsQ5h7r/+R82cdwtx70o89fdYhzL0XfeXDsw5h7m38xhdnHcL82+f6s45g7m26wQ/MOoS5t/nj\nb5t1CLBHLUzCDAAAwCqpMAMAAMAES0uzjmBdmfQLAAAAJlBhBgAAYDoL1iVbhRkAAAAmUGEGAABg\nKot2WykVZgAAAJhAhRkAAIDpLFiFWcIMAADAdBYsYdYlGwAAACZQYQYAAGA6KswAAACACjMAAABT\ncVspAAAAYG4S5g9XR886CAAAAHZgy5a1X+bYvHTJXhoXAAAA5tXSYqVtu1Nh/uXqlOqM6i/Hczym\n+uy4/2XVi8a2rxrbfHJ8/qfG/det3lCdW71l3N7qJWP7T1W/O+67T/XWZW3uPx63cXyNc6qzq/+x\nG9cDAAAAV7OrFebbVw+r7lFtrv68ekRDYntU9Z/Vh6rTlx1zq+ou1W3H525b/Xr1rerQ6rAV7Z9e\nfbPaVH2gumP1T+NrfV/19YYE/RXVEdXNx3NU3XAXrwcAAIBpmfRrh+7bMNb41IYK830bqrofakhk\nr6jeWG0Y2y9Vfzeun199oTqkunf12nH/1urwVsdXpzUk0XdoSKqr/qYhOb9RdffqPdW/VD9S/Vn1\n4w0JOwAAAKza7oxhfnX128u2H1z93LLtDe3Y1k7vk9rdunpKdefqP6pXdmV37VdW76gubUjCtzRU\nog+vHlj9t4bq92MnvegrLvjXbetH3uiGHXWjG+0kTAAAgF1z4jmf68RzPj/rMPaYRbut1K4mzB+s\n3la9oPpadUB1ZvXCcf2S6qEN1ecakuKHNiTZPzIu51UnVr/UUJm+Y0PSW7V/9e2GSvEPVj8xtqn6\ncnVR9YyGynYNXbSvaBjP/LmGKvREjz3wh3fxUgEAAHbNMYcd3DGHHbxt+/f/9j0zjIbV2tWE+TMN\nCev7GrpzX1H994YxzB+rLm5IoJd3yf5/1ScakuHHVZdXf9FQMT53POepY/uzGpLt86ovVh9Z8fqv\nr27SMIFY1S3G82ztWv60XbweAAAApqXCvFN/15Xjkrc6pWG26qpHNXSp3ur9DZN8LXdp9YvbOf9j\ndvDa92qYhXurs3P/ZgAAgPUhYV4Te+LmXKc1dPl+8h44NwAAAFzFnkiYXz0uteNq8a5SSQYAAJil\nLZtnHcG62tXbSgEAAMBC2FNdsgEAALiWWdqyWGOYVZgBAABgAhVmAAAAprNgY5glzAAAAExnwRJm\nXbIBAAAZ7dMNAAAgAElEQVRgAhVmAAAAprK0WYUZAAAAFp4KMwAAANNxWykAAABAhRkAAIDpLNgs\n2RJmAAAAprK0YAmzLtkAAAAwgQozAAAA01mwSb8WJmE+6umPmnUIc23LJd+cdQhzb8M+1511CHPv\n9fudP+sQ5t4vfeG2sw5h7v36od8/6xDm3sbLLpl1CPNvwboM7o4NW7436xDm3977zjqCubfPoXeb\ndQiwR+mSDQAAwFSWtmxe82U7HlidV32+eup22vzZ+PxZ1ZG7eOxUJMwAAADMk03VixsS30OrX6xu\nv6LNT1a3rQ6qfq36i104dmoL0yUbAACAVVqfIS93rc6vLhi331A9uPrMsjYPql49rp9S3ai6aXXr\nKY6dmoQZAACA6azPpF+3qL64bPtL1coB85Pa3KK6+RTHTk2XbAAAAObJ0pTtNuzRKFJhBgAAYEpL\nm1ffJfuEM8/txDN32EP6wuqWy7Zv2VAp3lGbHxrb7D3FsVOTMAMAALBujj3i0I494tBt28999VtX\nNjm1YTKvA6uLquMbJu9a7u3VExrGKN+9urj6SvX1KY6dmoQZAACA6azPpF/fa0iG39sw6/UrGibt\netz4/EurdzfMlH1+9e3qMTs5drdImAEAAJg37xmX5V66YvsJu3DsbpEwAwAAMJ31qTDPDQkzAAAA\nU1lan9tKzQ23lQIAAIAJVJgBAACYzoJ1yVZhBgAAgAlUmAEAAJiOCvPcuGH168u2j6veMZtQAAAA\nWNqyZc2XeTbPCfONq8fPOggAAAAW01olzAdW51WvrD5bva56QHVy9bnqLtUB1T9UZ1Ufqw4bj/3d\n6q+rD1X/XD1x3P+86jbVGdUfVkvVftWbqs9Ur132+s+rPj2e+4/W6JoAAABYbsvmtV/m2FqOYb5N\n9fPVudUnq+Ore1YPqn67+mJ1WvWQ6seq11RHjscePO7bvyHhfkn11OoOy9ocN64fWn25IRm/Z0Oi\n/pDqkLHd/mt4TQAAACyotUyY/6Whytv4+IFx/Zzq1tUPVz837vtQ9X3VDRoqx++qrqi+Xn21+sFq\nw4TX+ER10bh+5njOj1eXVq+o3jkuV/Ocv3nbtvVjDr9dx9zpkEnNAAAAdtuHP35aJ5xy2qzD2HPm\nvCK81tYyYb5s2fqW6vJxfanaVG1uchLcsraN7bYX12Ur2u09Pt61um/1C9UTxvWreMYjHrzj6AEA\nAFbpuLsf3XF3P3rb9rP+7GUzjIbVWs/bSp1UPbx6TkP36q9Vl7T9JPqShgr0zlx/XN5TfbRhHDQA\nAABrbGmzCvPuWtrB9lL1ew2Te51Vfbt61LLnVh5bQ/fskxu6dL97XCa9xg2qt1X7NiTfT97tKwAA\nAGD75vw2UGttrRLmC6rDl20/ZjvP/eyEY39vxfZhy9YfvuK5E5atP3HZ+t12GiEAAADsgvXskg0A\nAMA12YJN+rVW92EGAACAaxUVZgAAAKaypMIMAAAAqDADAAAwlSWzZAMAAMDVLW1erIRZl2wAAACY\nQIUZAACAqagwAwAAACrMAAAATGfRJv1SYQYAAIAJVJgBAACYyqKNYZYwAwAAMJVFS5h1yQYAAIAJ\nVJgBAACYypbNm2cdwrpSYQYAAIAJFqbC/PIb3GfWIcy133zqs2cdwty75AX3nXUIc2/Lty6edQhz\n73+/+bdnHcLcO+J9r5l1CHPvG3/3V7MOYe7td+tbzTqEuXfZV7826xDm3qKN1dwd17/jEbMOgXXm\ntlIAAADA4lSYAQAAWJ1F63khYQYAAGAqi5Yw65INAAAAE6gwAwAAMBWTfgEAAAAqzAAAAExnizHM\nAAAAgAozAAAAU1m0WbIlzAAAAExl0RJmXbIBAABgAhVmAAAApuK2UgAAAIAKMwAAANMxhnntnLzG\n5zuwOmdcP656xxqfHwAAALbZkxXme+7BcwMAALDOVJjXzrfGx+OqD1dvqj5TvXZZm7s0VKLPrE6p\n9muoJJ9YnTYuP7qT1zm2OmNcTh/PAQAAwBrbsmXLmi/zbE9WmJeWrR9RHVp9uSFBvkd1avWG6mEN\nifF+1Xerr1T3ry6rDqpe35BYb89TqsdXH6uuNx4HAAAAq7Jek359orpoXD+zunV1SUMCfdq4f2tF\n+jrVi6s7VZurg3dy7pOrF1Svq95SXbhmUQMAALDNonXJXq+EeXnVd/P4ukvbafvkhkT6EdWm6tKd\nnPv51Turn2pInn+8+uzKRu9++f/dtn7QUXfvoKPuPmXoAAAA0znhjHM78YxzZx3GtdkB1RurH64u\naOixfPGEdn/dkCN+tTps2f7frf5r9bVx+39X/7i9F5vVbaWWGpLam1V3buiefYPqO9X+1ZfGdo9s\nSJp35DbVp8flLtXtmpAw/+R//R9rETcAAMB2HXvkoR175KHbtp/zqr+fYTRrb2nz5lmH8LTq/dUf\nVk8dt582od0rqxdVr1mxf6n603HZqT056dfSdta3uqI6vuEizqzeW+1TvaR61Ljvdl3ZVXt753xS\nw+2mzqour96zBrEDAAAwfx5UvXpcf3X1kO20O6n65nae2zDti+3JCvP+4+OHx2WrJy5bP7Wrz4J9\nfsP45a22fltwQXX4hHP+xmqCBAAAYDpLs5/V+gcbJopufPzB3TjHExt6M5/aMIn0pC7d1ey6ZAMA\nAHANs06Tfr2/uumE/U9fsb3U9ufG2p6/qJ41rj+7+pPqsdtrLGEGAABg3Zxy4Vc75cKv7ajJ/Xfw\n3Fcakul/a5gT66u7+PLL27+8eseOGkuYAQAAmMpaVJjvetObdNeb3mTb9os+uUuzir+9Yc6r54+P\n/7CLL3+zhrsyVf1sw3xY27UnJ/0CAACAtfS8hgr056r7jNtVN6/etazd31YfrQ6uvlg9Ztz//Ors\nhkmjj224rfF2qTADAAAwlS3rM4Z5R75R3W/C/osa7ru81S9u5/hH7sqLqTADAADABCrMAAAATGUO\nbiu1riTMAAAATGWdbis1N3TJBgAAgAlUmAEAAJjK0ualWYewrlSYAQAAYAIVZgAAAKYyB7eVWlcq\nzAAAADCBCjMAAABTWdqyWGOYJcwAAABMZYtJvwAAAICFqTC/44yLZh3CXLvkBfeddQhz7wZP/uCs\nQ5h7Fz/j0FmHMPcu+fK3Zh3C3Fva+7qzDmHuXfr1/5x1CHPv+rfaPOsQ5t4V3/7urEOYe0sLNrnR\nbtlr71lHwDpbtP8XKswAAAAwwcJUmAEAAFidpQUbwyxhBgAAYCom/QIAAABUmAEAAJiOSb8AAAAA\nFWYAAACms2WLMcwAAACw8FSYAQAAmIrbSgEAAMAEW0z6BQAAAKgwAwAAMJVF65KtwgwAAAATqDAD\nAAAwFRVmAAAAYN0T5kdVN9vNYw+szhnXj6vesQbxAAAAMKUtm7es+TLP1rtL9qOrT1VfXufXBQAA\nYJWWtuiSvat+s6Hye071pK5aCa76n9X/qX6+unP1uur0at/qLtXJ1ZnVKdV+4/EnVqeNy4/u5PWP\nrc4Yl9PHcwAAAMCqrLbCfHRD1fiuDcn3KdUJK9osjcvfV0+ontKQ2F6nekP1sIbEeL/qu9VXqvtX\nl1UHVa9vSKy35ynV46uPVdcbjwMAAGCNbVmwSb9WmzDfq3pLQ6LbuH7MhHYbJqzfrqFr9mnj9rfG\nx+tUL67uVG2uDt5JDCdXL2ioXL+lunD68AEAAGCy1SbMS109Gb5hV+3qfd2x3fJjduTJDYn0I6pN\n1aU7af/86p3VTzUkzz9efXZlo/Pf9Ypt6wccdGQHHHzUTk4LAACwa044/VOdePqnZx3GHrM055N0\nrbXVJswnVa+qnteQJD+kekz1G9UB1bern67ePba/pNp/XP9sw4zZd65OrW5QfWd8/ktjm0c2JM07\ncpvq0+Nyl4bK9dUS5tv+1GN38dIAAAB2zbFH3bFjj7rjtu3n/PWbZhgNq7XahPmMhoT5E+P2yxqS\n32eN+y6szl3W/lXVXzYkxveojq9e1FCF/k51v+olDeOdH1n9Y1d21a7JleonVT9WbWmYgfs9q7wm\nAAAAJlgyhnmXvWBclnvRuKz0lnHZ6tSuPgv2+Q3jl7d62vh4QXX4uP7hcamhmg0AAMAetmiTfq3F\nbaUAAADgWmctKswAAAAsgKUtizXplwozAAAATKDCDAAAwFSMYQYAAABUmAEAAJiO20oBAADABEub\nTfoFAAAAC0+FGQAAgKmY9AsAAABQYQYAAGA6izbplwozAAAATKDCDAAAwFS2LC1WhVnCDAAAwFQ2\nL1jCrEs2AAAA1xQHVO+vPle9r7rRhDb7VqdUZ1bnVn+wi8dvI2EGAABgKpuX1n7ZRU9rSHgPrj44\nbq90afVj1RHV4eP6PXfh+G0Wpkv22w+9YNYhzLUHnXvgrEOYe3/6kmfOOoS5t/GSf5p1CHNvn/33\nmXUI82/L5llHMPf2udF+sw6Ba4G99vX7aGc2X3HFrEOYexs2bpp1CCyeB1XHjuuvrj7c5KT3O+Pj\ndapN1Td38fhqgRJmAAAAVmcOxjD/YPWVcf0r4/YkG6vTq9tUf9HQNXtXjq8kzAAAAMyX91c3nbD/\n6Su2l8Zlki0NXbJvWL23Oq6hmjzt8ZWEGQAAgCntxpjjqzn38m/3mSu+s6Mm99/Bc19pSKb/rbpZ\n9dWdvNx/VO+qjm5ImHfpeJN+AQAAMJXNS0urXm639/V6yPVusm3ZRW+vHjWuP6r6hwltbtKVs19f\ntyEBP3MXjt9GwgwAAMA1xfMaEuDPVfcZt6tu3lBJ3rr+Tw1J8inVOxpmxN7R8RPpkg0AAMBU1qJL\n9ip9o7rfhP0XVT81rp9dHbWLx0+kwgwAAAATqDADAAAwlTm4rdS6UmEGAACACVSYAQAAmMocjGFe\nVxJmAAAAprJoCbMu2QAAADCBCjMAAABTMekXAAAAoMIMAADAdIxh3nUbxgUAAACuNXY3YT6w+mz1\n6uqc6pnVJ6qzqt8d2zyvevyyY363esq4/lsT2h9Yfab6q+pT1XurfcfnPlwdPa7fpPqXcX1T9UfL\nzvVru3k9AAAA7MTmpaU1X+bZairMt63+vHpydYvqrtWRDYntvas3VA9b1v6h474HjMeubL/1nC+u\n7lhdXP38uH9pXFZ67NjuruPyqw2JNwAAAGts89LaL/NsNWOY/7WhsvvHDUnwGeP+6zckvq+sfqC6\n2fj4zerChgR7UvsvNlSOzx73n9bOk98HVIdVvzBu7z+e64LdvSgAAACo1SXM3162/gcNXalXelND\nMnvThuryjtofWF22bHtzV3bJ/l5XVsP37aqeUL1/Z8E++1V/v239mCNu37FHHLqzQwAAAHbJCad9\nqhNO/9Ssw9hj5r0L9Vpbi1my31s9u3pdQxJ9i+ry6mvVG6uXV99XHbOT9pNsnUzsgurO1aldWU3e\neq7HVx9qSKoPrr5UfWfliZ756J9fuQsAAGBNHXv0HTv26Dtu237OK944w2hYrdUkzFu/Wnh/dfvq\nY+P2JdUvNyTM51b7NSSxX9lJ+0njlLdu/3H1dw2Ter1r2f6XN1SmT29Irr9a/ewqrgkAAIDtmPcx\nx2ttdxPmC6rDl23/2bhMcviEfdtrv7ztnyxb/2x1p2Xbzxwfl6qnjwsAAACsmbXokg0AAMACMIYZ\nAAAAJtgy6wDW2WruwwwAAADXWirMAAAATGXRumSrMAMAAMAEKswAAABMZdFuK6XCDAAAABOoMAMA\nADCVRRvDLGEGAABgKrpkAwAAACrMAAAATGfRumSrMAMAAMAEEuYZOOHMc2cdwtz7xudOn3UIc+/z\np3981iHMvRPPOm/WIVwjnH7xxbMOYe6d8FH/33bm5H/+0qxDmHsnfuqfZx3C3PvI5/7frEOYeyd/\n/ouzDmHunXDap2YdwrXa5qW1X+aZhHkGTjzzM7MOYe594/NnzDqEuSdh3rkTz/7srEO4Rjjj4v+Y\ndQhz74SPnjLrEObeRyXMO3XSpyXMOyNh3rmTz5cw78wJp0uY96TNS0trvswzCTMAAABMYNIvAAAA\npjLvXajX2oZZB7BOPlwdO+sgAACAhXNCddysg1gjeypd/mZ1wB46NwAAAAAAAAAAAAAAAAAAALBK\nizJh3e7w3kzPewXM0pHVPrMO4hrG7+2du0P16FkHMcdW3lbXzxQ75D7M82+/WQcwhzZ25Qx9Pmhc\n1fL3xs/Oji1/r242y0Dm3Iau/DCx/ywDmVPL35+V+9mxm+V9+r3qHflbNo0Dq+u352bovba4TnV0\ndd/ql2ccyzzaWG0Z1+/R8FnJzxRcg/1G9ZfVi6ojqk2zDWcuLP+S5zerlzf8ceDq780bq+vmA+kk\ny9+T/9bw/+xG+RJxkq3v1Y9Xz6t+ID9Ty219L45p+HD6oK78OfI+bd/PVJ9sSIIW0fKfjb+v/iFJ\n8478RPWp6kMN/89uPttw5tbyv2H/o3p99XMzimXe/Wb1nupHlu3zGQCuYR7ecM+2G1dfqp4123Dm\nzhOrj1S3GbcXPWle/uHr8dXJ1a3H7euufzjXGI+tTq1+eNxWlZ/s/tXnqnuO2xLBwdYPV3euzq/+\nouGLqrflg9eOHNOQ/Nx53N6/oXK4KCb9bLwplebtuWv15oZuxg+tXlr9epLmHXlS9e6GzwJvrR41\n23Dmwo26svD0k9XHq+uN2z9Sfd+47nc3XANs/c/8fxo+VDy2em+197h/UZOfw6s/XLb9woY/okc0\nVAjfXz2kIXFetA/zd2j4oL71Z+QPqntXd6ueUH2s4Rt51eYrr39jwx/KlzdULn6ooUfHR6rfnk1o\nc2f5z8pfV48c1x9W/VVD9YK6X0OF8Lhx+7oNP1cvnlVA1wAPrv5XdZ+G39+fqP644XfZtd3y/1c/\n3fBeHDRu/10qzSvduHpZdfqyfQ9u6BX0pIbf3VzVIdVpDZ+HfrB6RMPv8EWuNN+2eklX/p4+vuH3\n9n0bPjOdWP1bw/sFV+NblPlz0/Hxouq51S9UD6yuaPgg/xszimvWNjb8wvv9cfsbDWO//mh87uMN\nXSG3tHhjUS5rqND8ScMXLl+pnlE9p/puwzfzD+yqY3YX1dYPq1uq71Tva+iy9uKGLxye05BA/8BM\nopsvSw1futyvekvDz9R7q7tUZ1QP6MrfV4ts/+pnu7JaenlDBWzvfEG10r4NH+L/tTq04YPq5Q1/\n667XYvTw2Po7+LeqpzT8H3vF+Piwhr/1/5heUzV8kXBs9ZqGn5OtPe3eVn2gulOGqtVVP8tvrDY3\n/F+7XsPngQ809OB4csPP2KK5YXVB9e2GLw3u2vAzdHnD/8FPNBSo3lLdbjYhArvi9tXXq7s3jOv6\nSMM3gwc2fBt2RsOHjEVy9+p/j+uHNyQ3Tx+3D62+f1x/YPXh6oD1DG7G7tJQlamha/orGr5A2NDQ\nxXjre/GA6qSufK8W0W2Xrf9K9ecN1a2qg7vyg/r9Gr5pvsH6hTa3NjRUlbd+SD2u4b2q4f/iR1u8\nn6nlE3zdoCuTmuMbEp37jdv3b/h9/f1Jmrd6cPW6hg+l92roTnuj8bnbVWc2JI3XVhuWPR7YUN2q\noTfZO7tqVfk11S3XLbL5tKEhwXv+uH33huEOv7OsjWrgVX+//GJDr4Wq/9tQYLjJuP3Uhs8LizbB\n5Y809Ei8Z7VX9eyGSvPRK9o9tDov/+/gGuPXqs9Wd2z4A/GShj+m76oOm2Fcs3KnhrFuv7Vs+w0N\nlcCtnlid0+K9P7du+Gb0/7d37sFWV9cd/3AVUEDkIfIyeI2oVVQwBRmUKCaCPC/g26CJihGIReMj\n2sQ4voIhxQdiUl8R0ERNNI+KGm3UStVYH4MGEx81Ma+2sa2ZJjbNTCbTpv3j89vz+53DvSA1cs49\ne31mHO7vPJzf2bN/e++11net9fniejSwBlhFKc9eCrxEfmNTZQAetC7FSOBTGNFah/neI4vPnY1z\n7cAG3GOzUG/cTUFJ/+6V16YDL6MBlBtpfObhOvQNSiPvRFQufB0l2fO3+d01L5NRBTQM8ym/ixGw\nHqjo2IhjCq3vYBiOv/1OnCcPUhrLJxCV6MH96iCMiq7H4kzgmWgdGj3Q+nNla1iC+1dyDk9CZ8Pz\nuPf9iLLmS06MxPlyNc6fZDTfiOtSH8xnfg3P3UEQNDEfBEZVrk8H3qDM5+qHkpJcORB4Fj2koNF8\nJxo9YH7u3p18LwfasWpoyu8ejYewVShV66DMj8uV3viM/TUe2tNcmYe5cYtwHI9ElUfu7I/VsJPM\n7wLgOnTC9McoxvTiva5aKrUyR2GhuJHozPwBpbE3F2V/pxfX25Pf+HTGAkwvmo8OmPbi9b54iE9y\n9lafT2Mwl3QIGjMbKNejhejczC0CWKUHOjhfwjPQApwrD1HOkUPRmA6kDVOIHmVTOfFOqFL8BOY1\n50R1LdkNlYkrqTWar0On8ECigFwQNDVtKOl7EAtY7EaZj3Mz5um2skStKzrLrR+HntJkNB+Ih9WL\nOvlsK9PZ2OyBFdVXFNfvx+Ixyzr5bE7sSin5nIxG84voUEh0YKRwIfnmwtUbKeNRLvpN4BJUKXyB\ncny27+J7rUr9b7wAozcdWIH2s1hB/ITi/aMx0nzEtrrBJuYAjCrPw6jyE5QtXE4AvkKphoHWm0/1\nv2csPld7oqG8AufQdajayKHo2eZIgYFDUL3xNEZH7wcuK97rUfdvjgyklKPvXVyvRZlxG+U54QDK\n9TonqueklDYzCOsAXU9pNF+Lz+AO2/TugiDYalJuSR9c7G6gzJ84HSvRjt70ay1NdaFLEYl08DwI\njeYkz96fUk6bA9WxWVD8d0xxnYzm5ZXrnD2mPdBzfB8etO7CqM6k4u/LKp+dSb5RnarROwbz4pNh\nPAk4DaM9v0PDMDeq43MAZc72IHR0ptZtf1dcp0Ps0eQX0emMu9EY7IFRwmvQWDwC5aOzu/5qS7FH\n5e9LcL70QgNxOq5Be3TyvVzogWefB1FafDgqOWbiHPk6OqGiGKN8CHO5VwC343q0BpVmqU3Sieh0\nyE3iX3WkLMKz9TlY86YfGs3XogN9e/KrwxEE3Y6lmH+6DCM6vXHBuw2jyxvJ2+BZijLsBcDblJLH\ncZiLc06D7qsZWIqyxjnAf+GmAErXNhI9u6s8CPwWI8zghnkISvqv7upLGdKBRZfuxsNpKpACRjBO\nwZyvnckzsjMTo8h/jr+/DcfpPFQBrcOoBUT3iSojMKI6FNOO7sAD7HcojeVWnE/V35RSiL6K688A\nlINO7uR7uZKcdBOAs3DOPEyZqwzhgALX5V0xUPAE8CYwq3hvEHYx+Bqu4xtw7uXKWThGU4p/v4VG\ncl+sgbOcfNu0BkG3YSYuaEfihrAKH+qeGFG9kPykWfWS0PWYf3M+5gv+AXMnwUhPTt746tgcgD2n\n++Nh/QmM/p1bvD+KMj8wR+qNlSUowXqK2jz3KajoyNW73JdSCvsByirqJ+Mh7GaMYiSjuQ/OuxwP\nraPRuTmpuG7DZzJVfX4dnVeQj0x9cxyMEcI0V27BCrRQRr8GF/+24njVt/hJvXBvR2fBcoy2X7nJ\nN/OkA89Dj2BHh4F4/vl7bI90U/G5NK6tNl+2hqXohOqBKsRVqNpIzroeqN44gvzOAdV5MRgrhO+E\nxTwfx/PSt9Fh3odS4RkEQZMyDltHLS6uR2G0dBV5Vp2F2gNGKpIzBA9ZTxSvn4+SrDnkRXVs0mFz\nF4y4P1Vcn4Jjczp5U90wp+FcSa9dhoqFfthvcTHleOZGf+BvsB9nG0YrPgB8GKMS+6Eh+CQ697bD\n9Id/Jr9DGCjXX4vj0JsyJ244rlftxXUrGn9by0jMd78RZcfHYaTnOWoVU61q/FR/zxKUflbrbByK\naQ6/An6BB/tWG4OtYQKqoibj/vUY7mfg83UBpTGYM9UxGIeFBkfgfnYFFrTcvfjc9E2+3fpUz0nj\ncV0egHvZI8Xre+H+tpp89/4g6HZcA/ycslXLCOw1vJz8+r9WDwufxGhginwtBC4v/l6AkYqcIlz1\nY7OG2r6vKV/5JBy3nMamnupYLQZexY3yecq6AFegnH8jm1YTzYU0TsejLLbqgLoQD6gAH8EoWLXC\nei71ApI8tCeO10DM455V+cxklPX1qryWs+EDHlDvppQaj0cJ9krgN9ibGvIorvcX6HDaF/g1Rkmr\nrdnGEf1ewX1sbeX6KHQkJClxmiu5P1v3Aa9Urlfg/BqOwYVLUZX3U/Kre1PlHEzDSs/aBOyMAdZ7\nuYN8VWVB0G3oQA/qOIzwfAYjXklaPBxzUHJlES5sVaPvRIx0rSHvhvJn4NhUjbwkY7sD22/s3sn3\ncuRQlF2lQidfxOq8ae5MxGr0uZIOoAei5PEtNJ5Bg/Dn6Lz7PsrWIZ8qq7uhVB1U+6xDQ2c6RuD/\nA6OFS8m3D/WWWITyx2HFdT/c127E6GGrUjXodsR9ayjOlccwJ/cedEDlbvxB2e92MkrV96B0lF+P\nKqCg1rn0CLXP0DKsZZKUGweTV6oa1D5LR2L6Xn1huAdRjfc67ntBEDQx56I38BKU0szGB/0zGPFq\nb9idNY76XNNrMbcEykIMbbgInonSmly5HPNJoVZKdChGlyOy7L+DcB79kLJIHJju8Dx5G8pVDkOD\nbxJWWn0Gaydsj9WdbyPPPsu3oRPhQDycnoSV+t/CcdkHVQorKKOluYzN5tgd1+7kWFlJWYOj2jKq\nWlW8lajuZRfhs9Mbo1vri9cHY/HBT1OrSsiR6ejkHYOKurWoljoanXQ/QQdVULIAx+iXeJZMXAH8\nI3meIeufow50vkBZOyCxO1FhPQianpEYCQSbxz+CXsOeeMC4kNY8RGyOXTB3G9w827CC4XV1n5tK\nfrkmnVXYXYP9SqvMoSyckyvVsUpOln7oeV+GFTETK4gofGIxcGvl+hQ8iKWielUZZG4G4Z0ofaz2\nMB+Dh9J96z6b4/jUMxUjp19C2Wg7VuldWfe5g4EfU0aeW5GZmMaQ1pmxaNyMQPXGPZT7Xq7sgw7N\n6tkh47oAAArNSURBVNo8AGtM3ISVsVPqQ+7PVuIo4Gc4r0bhWenZyvsXk98Zsj/uY/3QOX4qdjC4\ni9rK4B/FgEvMpSBoctrRy3UtykQfpvTCf4x8D/CT0AhciRH2Nqxg/ABlj+WT8ZCa0wGjuqjPRKO4\nF8r176bMWT4ZJeq5bZJdcTbKZ9djkaFhaPBcRRmZz5XOjLopWPhkFKVxvA4P97l54Tsbny9hBH5A\n5bUbUc4flExG+XXKWf4cPnMPA/9EbaGi99F6bRJ3pZQWn4Zr8gOV94fgmDyOTph6h0uO7IUV+MG1\nJzk6UzSwlaunv1Pqf/cklKlX2Yjy45xZCPw71pfYDtNpVuLefyE+ky9TW4cjCIImZD+sXDgIPYBP\nUcqMTsEHOSdjEGo3glXA7ynbjfTEA+lG9MRvIK/WWtVo6enohX8Sx+kIPJg9SuldzmlsNscxWIF3\nb2AGyvlOQg/0SpQc59xrMT1z07CtxtmYW3kvrktTUdq/jjIlIifS+EzGQmepddRajBZ+uHjvl4TB\nXGUESqw/Xff6YJxHD+Bca2X2QsXYHWgUfxT3rervHoSGcm57fT2TcXwWoJEzs/LeURhhhtatnv5O\nqZ4DUkX+dowwV9efi9Bgzi3oUp0XE7C450uULaLacR1fhUVi9ycIgqZnFC5oHeiJXoWH0rvQGMr5\nQR6HG+bZwP0YBUwbRW+UYeckN64WVZqNh80e6ERYBvwVyo0AdgB23qZ311zUS9ZPAD5fuT4Y2x/t\ngQfanCtipsPFJHQkLAZewMPpoRgN/Ao6YDoq38ntsDoPc9zPR8dmamuzGlsAfoFSqZDb2HTGdOCz\nKKH9B2prKCTFwj7A92j9dfwazE3+RHE9E1u2ndOwO2o+DkHD5k5MjXmB0rEwF3iRKKBXzznAVzF4\ncAiuUW+hvPgSdNTkpgaq7v2ppd8uWGhwA+U6lCTZuRSrDIJuSztltesZaPwMxoP7ARixyLXaM8Ce\nWLk4ta85Exf/8cVry7v4XqsyBJ0GbbjAX4oHsORN3hWN5lvIMwLYFfMxMnEVOqP6UG6oNxER+MRY\nnDuLiutUwffaymdSXmlOxnL6nX1xfAaj8+VZaovDraas2JvT+HTFwVgYbTzwfixIeD0qPKB8Bg9D\nx3D/+v9BizEaHSwv4vwBx+Y5jHTlzkRMlUnKjT2xReLX8Gx0A5GzDLW//QzsYT4MVRz3Fq/PRmfn\nreRX7bk6PufhmWk1jtUgVLq8goV0H6WMOAdB0KSMwYf4W8BB+NAuJ6R89RyHh6xPFteL0Jv6PI5b\nbvRBaezA4voqjFIkT+lQlBYP3fa31jRUvcsfAf4VuBIPpm9jFHAWRlFfIW8JZDpctGE08GmsAJ0M\nwT5oGI6q+3xuB9b9sNDgHajieJKyh+lsatu45TY2nbEbGjr3VF4bj2vTrdSO1/7k1Q+2A6Wh0zEa\n+CQ6FHJnGvBHTP8AVVNzgaupfaZydkZVf3cf3N/asbvKQ5TS7EGdfD4Hqr93KjrswGfspsr7C1HB\nmXNHlSDoFiSJyGjg4yhVOxc9zw+TZyuJ6kJ3PHoGE/Mwx3sxjttO1BbZyY15KCXeGcftYuzdmaTY\n23XxvRyozqN2PFCkw/gczHt/llLin2t0uXro3BeVCb0wB/5uykKD+2MNheENuMdGU51LY9GhuQL7\nT6dI1+FYcHD8tr21pmcYOjk3UPbuBqPOV5Lvc5eYgW0jnyHvlKt65mEbqRRxn4LpakPpvCtETlTX\noyWU69EvqHVMLcHoci/yMpir82MRFmQ8Fc+Nf4vOBCidUzmes4OgW5EkIrehRAQsSDAHvWE/Ie98\nkx0xZ3Ij5fiAcr4XgLOIjRM8cP2Y0mhehvLZ3uS1SVapzouzMaL8Ks6jHYrXk7NhEnnnLaU5MhUV\nG69h9G8HypY363GtmlP3nZyYSClRvxqjzKehc3MFzq/Zjbm1pmQCKn9SjuBi4MvYNzeRc12FKkPJ\nb69/J8zBVKNvoCHYsfmPZ0F17Z2EBmByjD+Oe/+OuFa9TN5V1ufjvFmAtRHWV947DxUuYSwHQZNT\nLxG5hdqFsD955ywvxoqzn6OsDn5a8d5JuNDlLDWuZyYe2AfiPIpcHJmP0tl90Ki5HiMVPYv3T8T8\nuNyZgNHSw1HhktpspEjzN/GZzFWG3QtbRP0WI15z0aF5PHYxOBLHEPKWiSZmYYrDeehQmFK8/nGU\nPx7bmNsKuiEdwPex5Q/oDM31+ao6gmegMfg9SqO4L+Yvr0VDOmeZ8Uh0iK8urlejouU4VE29SCg6\ngqDp2ZJEJPeo6bFY+OUgLMz0KSw29BYWsniD2gqrgcxD2WPu8ycxEvu63lZc74gOmBswR65nF9/L\ngXqjroOyz2kPLDL4OBaT2wFzLO9HAzG3aPz7MPq3J0pC78Rn7RksFFPNew9j2bV5A+5lH0Nn58/w\ngA/KRHMrPhS8O45C4+eYRt9Ik7AE1UAno9F8Bu53iTY0nnPnGDw3Tsdc7kVYT+HLWEw3CIImZksS\nkZsJicjFlNWwe+MidwPmn87C1j9B5/Rr9A00GUcDb1LmwfVEKe3VWCglV5JRNxHVCTOAHwEfrHzm\ndmwfdQU6G6ZSeyjLgeRkuR3HZiwqFf4M+EvgX8irSNWW6I1FvnZFtcJLWGfiU1hkb0bls7k7FoKt\nYxpREA10bv6Q0lE3G43nheTXX/mdMAdrBFTl/L27+GwQ/MnJuZDQu2EkVsJ+FQ9hk3Hh2wXlfIvw\nEPZmo26wSRiMkscf4FhswHG5D4s0/aZxt9b0/KHRN9BkvIo5uZfhgX0j8BjOqbcbd1tNwVys8vw/\nxd//i8ZOqrp+GhrM+6F07XbgP7f9bTaU/8a58itMA9kex+dZ4NuYW/nTht1dczEfiw+NAf4NI1xv\nYaubUbg2vUiMV/D/4w3g142+iSbgQzgWD6AD+DXg9yg1/h3ueX9s2N01H69jutFNWBTtFdzzgiBo\nckIismV2RofCMoxqzUUp5JBG3lTQrZmB8uzjGn0jTcIAXHf645r0NDrtjgSewvZk84rPTiLqBYA9\ng1eiMfhc8VqSp+ceLR0IrMP6Emdizum9mHp0AeZ7p9Z/uY9VELwbZmAHlWo7tlloEA5ryB11D0Kh\nEATdkJCIbJkRwFLguxjJGdfY2wlagGlEga9EX0z/WInGcjpIjMH80p0qnw0Dp6QvtkM6rNE30kRM\nxI4Fl1ZeOxYj8w9hfuXcBtxXELQiO2FAYTnKsU9GB14Yg0EQtCQzsYhFVAvdPH2J4hVB8F6wFOVp\n04rrKZjHfFDlM2Esd00U+LLt3+vAd1AFdARlDY6TUB46uLiO8QqCPw3DsfDXQ6gUGtvY2wmCIHhv\nCYlIEASNYiimPTyKRdBeI/oIB++cicAjlBWvrwS+SG3bttyKxAXBtqQ3oU4MgiAIgiB4T+mDBs48\noo9wsHVMw+I55xXXvYDLgTVYmKg6h2I+BUEQBEEQBEHQ7QljOdga5qKsv9q27Sqsqh4EQRAEQRAE\nQRAEWTMLeAE4tbgOh0sQBEEQBEEQBEEQFKRI8whguwbfSxAEQRAEQRAEQRA0FUMafQNBEARBEARB\nEARB0MyEJDsIgiAIgiAIgiAIgiAIgiAIgiAIgiAIgiAIgiAIgiAIgiAIgiAIgiAIgiAIgiAIgiAI\ngiAIgiAIgiAIgiAIgiAIgiAIgiAIgiAIgiAIgiAIgiAIgmbh/wBZvp7f7wRFBAAAAABJRU5ErkJg\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108f54bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "reload(churn)\n",
    "churn.plotCorr(data, 'churndep', 18, 8)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>The above illustration let's us quickly see which variables have high degrees of correlation amongst themselves. In particular, we see that 'incalls' and 'outcalls' have alarmingly high correlation. Intuitively this might make sense, as someone who makes frequent calls would also be more likely to receive more calls. An important question of course is, does this matter? The answer of course (and this is the answer to many data science questions), is it depends. In general, we usually want to be cautious when several variables are highly correlated (and even more so if they are collinear). Certain supervised learning algorithms, such as tree-based algorithms, can automatically deal with highly correlated variables. Tree-based algorithms are particularly good at handling data 'as-is,' and one might choose to use them based on that property. However, many industrial systems are built around linear models, such as logistic regression. These algorithms are definitely sensitive to data irregularities, and can certainly give strange results when two or more features are highly correlated. <br><br>\n",
    "\n",
    "For the purpose of this case study, we're going to assume that we don't have restrictions on our choice of supervised learning algorithm. We can thus think ahead and acknowledge that our final model may likely be tree based, and as a consequence we won't explicitly correct for the high degree of correlation present here. If we wanted to though, some possible solutions could be simply dropping one of the correlated variables, or transforming the data using Principal Components. \n",
    "</p>\n",
    "\n",
    "###Targeted Exploration\n",
    "\n",
    "<p>Above we looked at how the various predictor variables correlated with each other. That is an exercise with its own motivation and implications. When faced with a supervised learning task, we often also care deeply about how all of the covariates correlate with our outcome of interest. This step of exploratory analysis has several benefits.<br>\n",
    "<ul>\n",
    "    <li><i><u>Pre-filtering of variables:</u></i>  In many cases we want to reduce the dimensionality of the dataset prior to modeling. In general, there is no sense in keeping variables that have no relationship with the outcome.  </li>\n",
    "    <li><i><u>Early insights:</u></i> We may want to report back progress to our business partners sooner than later. This step of the analysis will help us get early clues as to what are the primary drivers of churn.</li>\n",
    "</ul>\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1090846d0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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992LYsGEYNWoUdu/ejZKSEhQUFGDp0qWIiYlR29X0muzevTuuXr0KvV6P4uJivP766yYP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\n8fwfPUHtew+261IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a109690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "reload(churn)\n",
    "churn.plotMI(data, 'churndep', 0.4)\n",
    "plt.title('Mutual Information Between Variable X and Churn')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>This chart makes it pretty obvious which variables have a more correlated relationship with the churn outcome. For this analysis, we can ignore the absolute value of the mutual information and focus more on the relative values. Of the 11 variables, 3 look like they carry very little information about the Churn outcome. Of the remaining 8, 'revenue' clearly is the leader by far. This is interesting, but to truly interpret this, we need to know one more piece of information - does the variable in question have a positive or negative relationship with Churn? One issue with Mutual Information is that it doesn't tell us this piece. <br><br>\n",
    "\n",
    "With a little hacking, we can show the same plot but color the bars accoring to the direction of the correlation. \n",
    "</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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r1w5ubm64//770bJlS/X3GE660LhxY3h7e6v333igXsOGDZGTk4NBgwap9z/88MNYtmwZ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\nwWAwGIxXHiaKGQwGg8FgMBivPP8HSqY3g8YUGa0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a0d8590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "churn.plotMI(data, 'churndep', 0.4, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>The above chart shows Mutual Information, but with the bars colored according to the direction of the correlation. So to read this, we can say that as 'revenue' increases, the likelihood to churn goes down. We'll leave it as a thought experiment for the to do the following: \"How would you explain the qualitative implications of this chart to your marketing colleagues?\"\n",
    "</p>\n",
    "\n",
    "##Predictive Modeling\n",
    "\n",
    "###Setup\n",
    "\n",
    "<p>At this stage we should have a strong sense of where our data came from and what the data looks like. We know from our planning that we aim to learn a supervised model with a binary outcome. When we set up the problem, we set it up without specifying any specific constraints around the learning algorithm we can use. There are many industrial situations where one might only be able to choose from a small class of algorithms. This could be motivated by scalability concerns, legacy issues or regulatory mandates. <br><br>\n",
    "\n",
    "This is the stage where we need to decide whether or not to act on any of the data learnings we have observed above. We know we have at least one highly redundant feature as well as three features that seem to have no relationship with our outcome. If we were constrained to using a linear model like logistic regression, we would definitely want to consider dropping these variables. We know though that we have the allowance to use many more sophisticated tree-based algorithms, which conveniently enables us to just use the data as is. Nonetheless, we'll test in this study the effect of dropping these variables. \n",
    "</p>\n",
    "\n",
    "###Modeling Plan\n",
    "<p>Building the final model is one area where we can put the 'science' in data science. Specifically, choosing a model can be thought of as running a controlled experiment against the multitude of design options that can be built into modeling process. It generally helpful to be organized and specify the exact modeling options we will test. Here is the plan for this dataset:<br><br>\n",
    "\n",
    "<b>Modeling Design Parameters</b>\n",
    "<ul>\n",
    "    <li><b>Algorithms:</b> [Gradient Boosted Tree, Random Forest, Decision Tree, Logistic Regression]</li>\n",
    "    <li><b>Hyper-parameters:</b> Each algorithm has its own set of applicable hyper-parameters. We'll choose a grid of parameters that makes reasonable sense for each algorithm.</li>\n",
    "    <li><b>Variables:</b> All vs. All - {'incalls', 'creditcd', 'marryyes', 'travel', 'pcown'}</li>\n",
    "</ul><br>\n",
    "<b>Evaluation Plan</b><br><br>\n",
    "\n",
    "<u><i>Splits</i></u><br>\n",
    "You can't compare modeling options if you don't have a clearly articulated evaluation plan. We have a reasonably large dataset, with relatively few variables and balanced class distribution. We should consider ourselves spoiled (or at least lucky), that this is the case. The first decision we have to make is how to split the data. There is no time index, so we can just randomize across users. Because we have sufficient data, we would likely be fine creating three splits: training, validation, and testing. If we went this route, splits around 70%, 20%, 10% would likely do (remember, this particular decision is rather heuristic). \n",
    "<br><br>\n",
    "We don't have any particular constraints around modeling time, and the data isn't too large, so we'll go the extra mile and run cross-validation to do modeling selection. In cross-validation, we need a train/test split, and we can go 90%/10% for this. One advantage of cross-validation is that we can get variance estimates of our validation results, which gives flexibility in designing more conservative modeling selection rules. And on a practical note, we have to make sure we use the same exact cross-validation splits for each algorithm + hyper-parameter option. \n",
    "<br><br>\n",
    "\n",
    "<u><i>Evaluation Metric</i></u><br>\n",
    "Choosing the right evaluation metric is a critical decision whose importance is often overlooked. Specifically, we get to choose the evaluation metric used in validation. The training metric, which guides the empirical risk minimization algorithm in training, is often dicated by the algorithm (and is usually different for each algorithm).\n",
    "<br><br>\n",
    "The right metric should be guided by the application. Our example here has two potential applications: 1). to rank candidates according to likelihood to churn, and 2). to estimate good churn probabilities. The AUC would be an appropriate metric if we were just considering case (1), but we'll choose the LogLoss because of case (2). We'll discuss later how to create an expected value framework for putting our churn model into action. Before that though, we can say that a good churn probability estimator is a key element in computing expected values, and thus we'll choose the LogLoss.<br><br>\n",
    "\n",
    "<b>So now let's get onto the modeling!</b><br><br>\n",
    "\n",
    "Below is the most Python that we'll show in this case study. The code does a lot in just a few lines, and it shows pretty clearly the algorithms and hyper-parameters we're going to consider.\n",
    "</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#Here is the grid of hyper-parameters will test for each algorithm\n",
    "from sklearn.grid_search import GridSearchCV\n",
    "from sklearn.ensemble import GradientBoostingClassifier\n",
    "from sklearn.ensemble  import RandomForestClassifier\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn.cross_validation import KFold\n",
    "\n",
    "\n",
    "models = {LogisticRegression():{'C':[10**i for i in range(-2, 5)], 'penalty':['l1', 'l2']},\n",
    "\n",
    "          GradientBoostingClassifier():{'learning_rate':[0.005, 0.01], 'n_estimators':[200, 500],\n",
    "                                      'max_depth':[3], 'subsample':[0.5]},\n",
    "\n",
    "          RandomForestClassifier():{'n_estimators':[200, 500, 1000], 'criterion':['entropy']},\n",
    "\n",
    "          DecisionTreeClassifier():{'min_samples_leaf':[20, 50, 100], 'criterion':['entropy']}}\n",
    "\n",
    "\n",
    "#1. Split the and prepare data\n",
    "train_all, test_all = trainTest(data, 0.9)\n",
    "train_subset = train_all.drop(['incalls', 'creditcd', 'marryyes', 'travel', 'pcown'], 1)\n",
    "test_subset = test_all.drop(['incalls', 'creditcd', 'marryyes', 'travel', 'pcown'], 1)\n",
    "\n",
    "kfolds = KFold(train_all.shape[0], n_folds = 5)\n",
    "\n",
    "\n",
    "#2. Start the model bakeoff \n",
    "\n",
    "best_models_all = {}\n",
    "best_models_sub = {}\n",
    "\n",
    "Y = 'churndep'\n",
    "\n",
    "for classifier in models:\n",
    "    \n",
    "    best_models_all[classifier] = GridSearchCV(classifier, models[classifier], cv = kfolds, scoring = 'log_loss') \n",
    "    best_models_sub[classifier] = GridSearchCV(classifier, models[classifier], cv = kfolds, scoring = 'log_loss') \n",
    "    \n",
    "    best_models_all[classifier].fit(train_all.drop(Y, 1), train_all[Y])     \n",
    "    best_models_sub[classifier].fit(train_subset.drop(Y, 1), train_subset[Y])\n",
    "\n",
    "    \n",
    "#3. We just need to save the summaries.  The actual GridSearchCV objects contain a lot of data that we don't need to keep in memory    \n",
    "summ_all = {}\n",
    "summ_set = {}\n",
    "\n",
    "for k in best_models_all:\n",
    "    summ_all[k] = [best_models_all[k].best_params_, best_models_all[k].grid_scores_]\n",
    "    summ_set[k] = [best_models_sub[k].best_params_, best_models_sub[k].grid_scores_]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>Now let's plot the results of each algorithm against each other\n",
    "</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 325,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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WLVs+UZ+AR8cvPT292PG7d+8e0tLS1PU6deqgZs2apZZz4cIFPHjwAJ06dVLTCsZR0THQ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\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evHgRZ8+ehbGxsSRdEATk5OSgU6dO6NSpU40DoVbeTxNHR0c4OjqK6126dEFeXh5WrlyJ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Xmp88OHDy/2+z0hIUEURZGsrCyd5QBEOHGqwAkhlR8DJ06cOHHi9FedKjBl8NyVFnuFHVVp\niZCgoCDRarUiIpKRkSEajUbOnTunU6Zfv34yfvx4EXnYAbC1tZWCggK99T3eITYzM5PIyEi9ZR9P\nhMyaNUvs7e11ykRERIiRkZHcvXtXRB52Djt06KBTxsvLS0aPHl2s/pISIZs2bVKX3bp1S2rUqCGx\nsbE6206aNEl69eolIiJhYWHStGlTnfX379+XOnXqyIYNG/Qem4hIbm6umJqaqp3bI0eOSLVq1XQ6\nreVNhJw6dUoURZHt27frXa/vGEVEJxEiUvw8iYjs3r1bTExM1LYu0rp1a7UTHx4eLoqiyOHDh3XK\nPF6flZWVfPLJJzplPDw81KRQ0bn/6quv1PUXLlwQRVHkwIED6jJPT0+ZNWuWOt+pUyeZN2+eTr3f\nf/+9zrE1bNhQfH19dco0bdpUZ7tHkwWPHkO1atXk999/V5ft2LFDqlSpItnZ2eqyM2fOiEajkd27\nd6vbValSRc6fP6+WiY2NFUVRJCMjQ0QeJhSaN2+urv/555/FyMhIrl69qi7Tlwh5/Fp/9dVXpV+/\nfup8QUGBVK9eXedY9CVCymrnkkycOFE8PT3LLFckLS1NFEWRCxcuiMj/rscdO3aoZZYvXy6Kokhy\ncrK6LCQkROf68fPzk1deeUVu376tLluzZo0YGRmpycdHf689yX28ePFiadasWYm/u0pT3n3p8+WX\nX4qdnZ06n5iYKIqi6FxbM2fOlO7du5dYR1JSkhgbG+vc315eXjJq1CidctnZ2aIoisTHx+ssB/4f\ne3ceV1W1/4//tQ/IJKBkgAwyqKg4oICJiQOzZijXSK5p93KcukZfTBPnEhBv92Zqpg1+upBQmlqK\nmgOhEIpUJiqOkDdkMEHM1JyQQFi/P/yxY8sBDoZg97yej8d+PDx7r72GPRzZ77PW2hDRdZaMx+A/\neC7/2wsDIVy4cOHChUvzlgyMENGIFtGIFkCGiI4WIjpaiIyMBv9EfCxkZGSI6OhoeWksEPJYTD4g\nhJDnrDh+/DiEEOjdu7cizW+//QZ/f38AQE5ODoYOHar13AmvvfYapk2bhqSkJPj7+yM0NBQ9e/bU\nmDYvLw+DBw9WrPP29kZlZSXy8/PRt29fSJIENzc3RRobGxv8/PPPWtUHAAYOHCj/Ozc3FxUVFRg5\ncqRiMsSqqio4OzsDAI4dO4bCwsJ6b125e/cuCgoKGixn8+bNsLGxwfDhwwEAbm5u8PDwQFJSEubN\nm6d1fevKycmBSqWCr69vo+nqtlFbx44dQ3l5OSwtLRXrKyoqFO3U19fHgAEDGszn5s2buHTpEry9\nvRXrhw4dir179yrW1T2XNjY2AKA4lw8O4Th27Biys7Px73//W15XU1ODiooKXL58GdbW1hqvEVtb\nW1y5cqXBOteyt7dXtD8vLw+2trZwcHCQ1zk7O8PW1ha5ubnw8/MDANjZ2cHe3l5OM2jQIKhUKuTl\n5aFbt274+9//jsWLF+Pw4cMYPHgwPv74Y4wbNw4WFhYN1kVTO6ysrBRDkPT19WFhYdHk9d/UcW6I\nWq1GYGAgevTogaCgIIwePRrPPPOMfK8cP34csbGxOHnyJK5duwYhBADgwoULsLW11Vh+7Rwmddth\nZWVVrz5ubm6KuYsGDx6MyspKnD9/Hn379lWk1eY+DgsLw5o1a+Ds7IyRI0di1KhRGDt2LAwMDJo8\nDs0tCwC2bt2K1atX4/z587h9+zaqq6vlOXUa8uabbza47dy5c3j22Wcxe/ZsjBs3Tl7f3ElcY5qV\nmoiIiIioaT4+PvDx8ZE/x8bGNpj2sQiE5ObmynMk1NTUQJIkHD16FO3atVOkMzY2BnD/j+7ahx1t\nREdHY9KkSUhJSUFqaipiY2Oxbt06TJ48uV7axvKu+8f+g3WTJKnJB4y66k7qWbvf7t27FQ+7dcup\nqanBgAEDsGXLlnp5NfYgGx8fj/z8fEV9a2pqcP369YcOhGjrYSYurampgbW1NbKysuptMzc3l/9t\naGj4UG/QEELU26/usand1ti5FEIgJiYG48ePr7ftySef1Jhvbd7aXCPNOW7NOQaWlpYYO3YsEhIS\n4OLigl27dmH37t1N7qepHQ/TtuYe51ru7u4oKipCamoq0tPTER4ejv79+2P//v0oLy/HyJEjERQU\nhA0bNsDKygpXrlzBsGHDUFlZ2WT5enp6jbahOd8z2tzH9vb2OHfuHNLT05GWloY5c+YgNjYW33//\nfbMmi9amrMOHD+OFF15ATEwMRo0ahY4dO2Lnzp2IiorSupy6fvjhB/j6+mLixIn1giWdO3dWTBIN\nQJ6PpnPnzg9VHhERERG1DR8chA8OAgBiEYuYGO3/Jv6zaNVAiKaHtjNnziA1NRVvvPEGgPsPPUII\nXLp0SRHNqcvd3R0bNmxAVVVVvQeyhnTv3h2RkZGIjIxEREQE4uPjNQZCXF1d8fnnnysemLOysmBg\nYIBu3bo1u33a6N27NwwNDVFUVNRgmz09PbF582Z06tQJHTp00Crfs2fP4siRI0hLS1M8jJSXl8Pb\n2xuHDh3CsGHDml3fAQMGoKamBl9//TVGjhzZ7P1rGRgYoLq6WrHO09MTly9fhiRJil+2m8vc3By2\ntrbIyspS9FzJyspCnz59HjpfAPDw8EBeXp4cvHtY7dq1q9d+TVxdXVFaWori4mI4OjoCAAoKClBa\nWqroOVVSUoKLFy/KvUKOHDmCmpoauLq6ymmmT5+O559/Hs7OzrCxsUFAQMAfakNrMTU1RWhoKEJD\nQ6FWqzF48GCcP38eN27cwNWrV/Hmm2/Kx6Z20uSWcPr0aZSXl8tBisOHDzf4XaDNfQzcD+KNHj0a\no0ePxoIFC9C5c2d8++23zToX2pT1zTffwM7ODosXL5bXFRUVaV1GXbU9jyZMmICVK1fW2/7000/L\nE7EaGhoCAPbv3w87Ozv5vBARERERPS5aNRBSO3Sg7utz//Wvf2HgwIHyr5Q9evTApEmToFarsXIy\nSBsdAAAgAElEQVTlSri7u+PatWs4cOAAunXrhnHjxiEiIgLr1q1DWFgYFi9ejI4dOyI7Oxu9e/eu\n9waMu3fvIioqCmFhYXB0dMTly5eRlZVVb/hLrYiICKxevRoRERGYOXMmCgoKsHDhQkRGRsqvfhVC\n82ssm/PrcV1mZmaIiopCVFQUhBAYNmwYbt++jcOHD0NPTw/Tp0/HpEmTsGLFCoSEhGDp0qXo0qUL\nfvrpJ3z55ZeYMWMGunfvXi/f+Ph4eHh4yEMn6vL390d8fPxDBUJ69OiBsLAwTJs2De+++y7c3d1x\n8eJFFBcX48UXX9Q6H2dnZxQXFyMnJwddunSBubk5AgIC4O3tjZCQECxfvhw9e/ZEWVkZvvrqKwQG\nBmLo0KFa5z937lwsWbIELi4u8PDwwIYNG5CVlSW/3UZb/v7+8PLykn8FX7JkCYKDg+Ho6Ijx48dD\nX18fZ86cQXZ2Nt56660G83nwunFyckJaWhqGDRsGQ0PDBnv2BAYGws3NDZMmTcK7774LIQQiIyPh\n6empCPIYGxsjPDwcq1atQnl5OWbMmIHg4GDFQ3tgYCA6deqEpUuXKt68om2da9e1plWrVsHW1hb9\n+/dHu3btsHHjRnTo0AH29vbo0KEDDA0NsXbtWkRERCAvL08OqraEe/fuYcqUKViyZAlKSkqwYMEC\nvPTSS3LvtLq0uY8TExNRXV2NQYMGwdTUFFu2bIGBgQFcXFyaVS9tyurZsydKSkrw2WefYfDgwUhN\nTcXmzZubzHvhwoXIzs6Wh4SdPXsWfn5+8PPzw8KFCxU9P2oDrBMnTkRsbCzUajVef/11nDt3Dm+9\n9RZiYmKa1S4iIiIiotbQaq/PlSQJaWlpsLGxgaOjIwICArB7927ExsYiMzNT8WCxfv16TJ48GfPm\nzYOrqyvGjBmDrKws+ZWjtra2yMzMRGVlJXx9feHh4YH3339f7h0iSZLcO0NfXx+//vor1Go1evXq\nheeeew5DhgxRvNaxbk8OW1tbpKSkICcnB+7u7pg6dWq9ruB1829sXWNpHxQXF4eYmBisWLECffv2\nRVBQELZv3y73OjA2NkZmZia6du2K8ePHw9XVFWq1Gr/++qvGB+jKykps3LgRzz//vMbzMX78eGzb\ntg23bt3SWKemerd88sknmDhxImbOnAlXV1dMnjwZN2/ebHL/uutDQ0MxevRo+Pv7w8rKSn5I27t3\nL/z8/DB9+nT06tULf/3rX/Hjjz/Czs6u0fwfPNYzZ87E3LlzMW/ePPTr1w87d+5EcnKyYl4IbXrx\nFBQUKB7+goKCsGfPHmRkZMDLywteXl5Yvnx5k798P1i/lStXIiMjAw4ODvD09NSYptbOnTthaWkJ\nX19f+Pn5wdbWFjt27FCkcXJywgsvvIAxY8bA398f3bt3x/r16+vlpVarUVVVpbFHVFN1rl3XXA/b\nWwq437vn7bffhpeXFzw9PXHq1CmkpKTAyMgIlpaWSEpKwo4dO9CnTx/ExcXhnXfe0arOTd3DkiRh\nxIgR6NOnD3x9ffHcc88hICBA8arvB/dp6j62sLBAQkIChg8fjn79+mH79u1ITk7WqtdEc8sKDg7G\n3LlzMWvWLPTv3x/p6elYunRpk8emrKxMMR/P1q1bceXKFWzZsgU2NjawtbWFra2t4n40NzfH/v37\nUVpaioEDByIyMhJRUVGYPXt2k+0iIiIiImptkmjtn3eJqMXFxMRg27ZtOH36dJNpX375ZRQUFCA1\nNbXeNmdnZyQlJcmT6+oytVqNq1evYteuXW1dlf8pkiSB/+lQa5JiABHT1rUgIiL6c5LQ+j3CW0pj\n838+FpOlEtGjd+PGDeTm5uLTTz/FF1980dbVISIiIiIiahOtNjSGiB6dhobU1BUSEoKAgABMnToV\nzzzzTCvVrGkzZsyAmZmZxiUiIqLN6qXNMW0pFy5cgKmpaYPH4eLFi61SDyIiIiIiXcChMUTUpq5c\nuSLPVfMgc3NzxSuJ/1dVV1ejuLi4we2Ojo6KV/3+mXFoDLU2Do0hIiJ6eBwaQ0T0CFhaWsLS0rKt\nq9Gm9PT0/vDrmImIiIiISDscGkNEREREREREOoM9QoiIqFW1zswrRL+rveYEeP0RERE1h4WZWVtX\n4ZFgIISIiFrVn3WcKf05SbF1xgc3MlaYiIiIdAeHxhARERERERGRzmAghIiIiIiIiIh0BgMhRERE\nRERERKQzGAghIiIiIiIiIp3BQAgRERERERER6QwGQoiIiIiIiIhIZzAQQkREREREREQ6g4EQIiIi\nIiIiItIZDIQQERERERERkc5gIISIiIiIiIiIdAYDIURERERERESkMxgIISIiIiIiIiKdwUAIERER\nEREREekMBkKIiIiIiIiISGcwEEJEREREREREOoOBECIiIiIiIiLSGQyEEBEREREREZHOYCCEiIiI\niIiIiHQGAyFEREREREREpDMYCCEiIiIiIiIincFACBERERERERHpDAZCiIiIiIiIiEhn6Ld1BYiI\nSLdIktTWVSBdEvP7NSfA608bFmZmuHbzZltXg4iI6JFhIISIiFqVaOsKkE6RoLzmeP01Tbp1q62r\nQERE9EhxaAwRERERERER6QwGQoiIiIiIiIhIZzAQQkREREREREQ6g4EQIiIiIiIiItIZ/5OBkJiY\nGPTr10+rtEVFRVCpVDh+/PgjrtXj68CBA1CpVLh27ZrGzy0lMTERZmZmLZpnXc0576SZk5MTDh48\n+IfzUalUSE5OboEaPd7UajXGjBnzpy7ro48+goODA/T09LB06dIWz5+IiIiI6HHTaoEQtVoNlUoF\nlUoFAwMDWFtbw8/PDx988AHu3bvXomXNnTsXmZmZWqV1cHBAWVkZ+vfv3yJl1wZWGlva4mFj1apV\nUKlUeP3111u97FoTJkxAYWGh/LmlAxfNOe+Pg8cxWCBJUou8WrKsrAzBwcEtUKPHW0sdr7Yq6/r1\n63jllVcwf/58lJaWYs6cORrTafoe++ijjxRpTp8+jREjRsDExAT29vaIi4tr0boSEREREbWUVnt9\nriRJCAwMxKefforq6mpcuXIF6enpiI6Oxqeffor09HSYmJi0SFnt27dH+/bttUqrUqlgZWXVIuUC\nvwdWan3wwQdYv349srOzFfWr6969e9DXf7SnIiEhAV5eXkhMTMTSpUuhUrVuZ6B79+7ByMgIRkZG\nLZ53TU0NgOad98eFEI2/yLE1ro1HoSXvqceZEKLJc/g4l1VcXIzq6mo8++yzsLa2bjRtfHy8Irhl\nbm4u//vmzZsIDAyEj48Pjh49iry8PEyePBnt27fHa6+91qJ1JiIiIiL6o1rtaVgIAQMDA1hZWcHG\nxgZubm6YPXs2Dhw4gOPHj2P58uVy2srKSsyfPx9dunRB+/btMWjQIOzbt0+R3w8//ICxY8eiY8eO\nMDMzw5AhQ3DmzBkA9XsanD59Gv7+/ujQoQPMzMwwYMAAHDhwAIDmoTGZmZnw8vKCsbExOnfujNde\new1VVVXydh8fH7zyyitYtGgRLC0tYW1tjblz50IIIQdWahdTU1PFutzcXJiZmSElJQWDBg2CoaGh\n3Lbly5eje/fuMDExgZubGzZu3Khoc0lJCSZMmIAnnngCTzzxBIKDg5Gfn9/ksf/uu+9QUFCArVu3\n4s6dO0hJSdHyrDWssrISixYtgpOTE4yMjNCtWzesXbsWwO9Da+q2MTU1VTE0pjYgc/bsWfkX5k8+\n+QQAcOPGDbz00kuwtraGubk5fHx8cOzYMbns2nxSUlLQt29fGBoaIi8vr955F0IgLi4OXbp0gZGR\nEdzc3PDll1/K22vPfXJyMgIDA9G+fXv06dMHaWlpTbZ/165d8PT0hLGxMbp27YrXX39dcY04OTnh\nn//8J/7xj3+gQ4cO6NKlC1asWKHYDgDjx4+HSqVC165dAfx+7SYmJqJbt24wMjJCeXk5Lly4gHHj\nxsHc3Bzm5uYIDQ1FSUmJnF/tfvHx8XBwcICJiQnGjRuHq1evArh/TRsYGODy5cuKdixevLjR3lA+\nPj6IiIjAnDlz0KlTJ1hZWWHNmjWoqKjAjBkz0LFjRzg6OmLTpk2K/er2dvkjxxkAqqqqMHPmTNjZ\n2cHIyAgODg5YuHChvH3Dhg146qmnYG5uDmtra4SFhaG0tFTeXns9fvXVV/Dw8ICJiQmGDx+OkpIS\nfP3113Bzc4OZmRnGjh2L69evy/vVDkVZtmwZOnfuDDMzM0yZMgUVFRWN1rep+3jp0qXyfWNjY4Pw\n8HCtjsPDlLVgwQL06tULJiYmcHZ2xvz58/Hbb78BuH8feXh4AAC6du0KlUqFCxcuNFhWhw4dFN9t\ndYOaGzduREVFBZKSktC7d2+EhoZi/vz5WLVq1UO3jYiIiIjokRGtJDw8XAQHB2vcNnbsWNG3b1/5\n88SJE8XTTz8tDh06JAoLC8V7770nDAwMxMmTJ4UQQpSUlIhOnTqJv/zlLyI7O1ucP39ebN68WZw4\ncUIIIUR0dLQiv759+4q//e1v4ty5c+L8+fNix44d4rvvvhNCCFFYWCgkSRLHjh0TQghx8eJFYWJi\nIl5++WXxww8/iN27d4vOnTuLOXPmyPmNGDFCdOjQQURHR4sff/xRfP7550JfX19s2rSpXtvefvtt\n4eTkJH/OyMgQkiQJNzc3sX//flFYWCiuXLkiFi1aJHr16iVSU1NFUVGR+Oyzz0T79u3Fnj17hBBC\n3LlzR7i4uIjJkyeL06dPi3Pnzolp06YJR0dHUV5e3uixnzJlinjxxReFEEK88sor4i9/+Ytie22d\nrl69qvGzJhMmTBD29vYiOTlZFBYWikOHDokNGzY02sb169cLU1NTIYQQd+/eFVFRUaJXr17i8uXL\n4vLly+Lu3buipqZGeHt7i+DgYPncvvHGG8Lc3FxcunRJCCHE+vXrhb6+vhgyZIj49ttvxY8//ihu\n3bpV77yvWrVKmJubi02bNokff/xRLFmyROjp6cnXSe2579Wrl9i9e7fIz88X4eHholOnTuL27dty\nPo6OjkKtVsufv/rqK2Fubi4SExNFQUGByMjIED179hRRUVGKfTp16iTef/99cf78ebF27VohSZJ8\n3V25ckVIkiQSEhLE5cuXxS+//CKEuH/ttm/fXowcOVLk5OSIs2fPit9++00MGDBAeHt7i2PHjomj\nR4+KwYMHi4EDB8rlRUdHC1NTU+Hr6ytOnDghvvnmG9GnTx8xduxYOU2vXr3E8uXL5c/V1dXC3t5e\nrFmzRl7n5OQkDh48KH8eMWKEMDc3F7GxsSI/P1+sXLlSSJIkgoKCxJo1a+TzY2RkJMrKyuT9JEkS\n27Zta9ZxbsiKFStEly5dxKFDh8RPP/0kvv32W5GYmChv//jjj0VKSoooLCwUR44cEb6+vmL48OHy\n9trr0cvLS2RlZYlTp06Jvn37iiFDhghfX19x5MgRcfToUeHs7CxeffVVeb/w8HBhZmYmwsLCxNmz\nZ0Vqaqqws7MTM2fOVKSp+73W1H28detWYW5uLvbu3St++ukncfToUfH+++83eQwepiwhhIiLixPf\nfvutKC4uFnv37hUODg7ijTfeEELcvwdTU1OFJEni6NGj4vLly6K6ulqEh4crvrOEuH8+7ezsxJNP\nPimeeuopsW7dOlFTUyNv/9vf/lbv+/3IkSNCkiRRVFSkWA9ACC5cWnFBTNvX4c+2tOKfh0RERI9M\nY/+ftdr/dI0FQubPny9MTEyEEELk5+cLlUolLly4oEgTEhIiIiIihBD3HwCcnJxEVVWVxvwefCA2\nNzcXSUlJGtM+GAhZtGiR6NGjhyJNYmKiMDQ0FHfv3hVC3H84HDJkiCJNYGCgmDZtWr38GwqEJCcn\ny+tu374tjI2NRVZWlmLfV199VYwePVoIIURCQoJwcXFRbL93757o1KmT+PzzzzW2TQghbt26JczM\nzOSH25MnT4p27dopHlqbGwj573//KyRJEqmpqRq3a2qjEEIRCBGi/nkSQoj09HRhamoqH+taAwYM\nkB/i169fLyRJEsePH1ekeTA/W1tbERcXp0jj4+MjB4Vqz/1HH30kby8pKRGSJIlvvvlGXufv7y8W\nLVokfx42bJhYtmyZIt/t27cr2ubo6CgmTpyoSOPi4qLYr26woG4b2rVrJ37++Wd53b59+4Senp4o\nLi6W1xUUFAiVSiXS09Pl/fT09MRPP/0kp8nKyhKSJIn8/HwhxP2Agqurq7x97969wtDQUFy7dk1e\npykQ8uC1bmlpKUJCQuTPVVVVwsDAQNEWTYGQpo5zQ2bOnCn8/f2bTFcrLy9PSJIkSkpKhBC/X4/7\n9u2T07z33ntCkiSRk5Mjr4uJiVFcP+Hh4cLCwkLcuXNHXrdhwwZhaGgoBx/rfq9pcx+vXLlS9OzZ\ns8HvrsY0tyxNPvzwQ9G9e3f5c3Z2tpAkSXFtLVy4UAQEBCj2i4uLE9988404efKkWLlypWjfvr3i\nWg4MDBRTp05V7FNcXCwkSRKHDx9WrGcghEtrLwyEaLdkYISIRrSIRrQAMkR0tBDR0UJkZGjzDUVE\nRPT4aSwQ8lhMPiCEkOesOH78OIQQ6N27tyLNb7/9Bn9/fwBATk4Ohg4dqvXcCa+99hqmTZuGpKQk\n+Pv7IzQ0FD179tSYNi8vD4MHD1as8/b2RmVlJfLz89G3b19IkgQ3NzdFGhsbG/z8889a1QcABg4c\nKP87NzcXFRUVGDlypGIyxKqqKjg7OwMAjh07hsLCwnpvXbl79y4KCgoaLGfz5s2wsbHB8OHDAQBu\nbm7w8PBAUlIS5s2bp3V968rJyYFKpYKvr2+j6eq2UVvHjh1DeXk5LC0tFesrKioU7dTX18eAAQMa\nzOfmzZu4dOkSvL29FeuHDh2KvXv3KtbVPZc2NjYAoDiXDw7hOHbsGLKzs/Hvf/9bXldTU4OKigpc\nvnwZ1tbWGq8RW1tbXLlypcE617K3t1e0Py8vD7a2tnBwcJDXOTs7w9bWFrm5ufDz8wMA2NnZwd7e\nXk4zaNAgqFQq5OXloVu3bvj73/+OxYsX4/Dhwxg8eDA+/vhjjBs3DhYWFg3WRVM7rKysFEOQ9PX1\nYWFh0eT139RxboharUZgYCB69OiBoKAgjB49Gs8884x8rxw/fhyxsbE4efIkrl27hvvfecCFCxdg\na2ursfzaOUzqtsPKyqpefdzc3BRzFw0ePBiVlZU4f/48+vbtq0irzX0cFhaGNWvWwNnZGSNHjsSo\nUaMwduxYGBgYNHkcmlsWAGzduhWrV6/G+fPncfv2bVRXV8tz6jTkzTffrLeu7iTLbm5uqKmpwbJl\ny7B48WIAaPYkrjF1/u3z/y9ERERERH/EgQMH5CkwmvJYBEJyc3PlORJqamogSRKOHj2Kdu3aKdIZ\nGxsDuP9Hd+3Djjaio6MxadIkpKSkIDU1FbGxsVi3bh0mT55cL21jedf9Y//BukmS1OQDRl11J/Ws\n3W/37t2Kh9265dTU1GDAgAHYsmVLvbwae5CNj49Hfn6+or41NTW4fv36QwdCtPUwE5fW1NTA2toa\nWVlZ9bbVnZzR0NDwod6gIYSot1/dY1O7rbFzKYRATEwMxo8fX2/bk08+qTHf2ry1uUaac9yacwws\nLS0xduxYJCQkwMXFBbt27cLu3bub3E9TOx6mbc09zrXc3d1RVFSE1NRUpKenIzw8HP3798f+/ftR\nXl6OkSNHIigoCBs2bICVlRWuXLmCYcOGobKyssny9fT0Gm1Dc75ntLmP7e3tce7cOaSnpyMtLQ1z\n5sxBbGwsvv/++2ZNFq1NWYcPH8YLL7yAmJgYjBo1Ch07dsTOnTsRFRWldTkNeeqpp3Dz5k1cuXIF\nlpaW6Ny5s2KSaADyfDSdO3eut3/MH64BEbU0HxyED+6/Pj0WsYiJ0f77j4iI6HHg4+MDHx8f+XNs\nbGyDaVs1EKLpoe3MmTNITU3FG2+8AeD+Q48QApcuXVI0oi53d3ds2LABVVVV9R7IGtK9e3dERkYi\nMjISERERiI+P1xgIcXV1xeeff654YM7KyoKBgQG6devW7PZpo3fv3jA0NERRUVGDbfb09MTmzZvR\nqVMndOjQQat8z549iyNHjiAtLU3xMFJeXg5vb28cOnQIw4YNa3Z9BwwYgJqaGnz99dcYOXJks/ev\nZWBggOrqasU6T09PXL58GZIkKX7Zbi5zc3PY2toiKytL0XMlKysLffr0eeh8AcDDwwN5eXly8O5h\ntWvXrl77NXF1dUVpaSmKi4vh6OgIACgoKEBpaami51RJSQkuXrwo9wo5cuQIampq4OrqKqeZPn06\nnn/+eTg7O8PGxgYBAQF/qA2txdTUFKGhoQgNDYVarcbgwYNx/vx53LhxA1evXsWbb74pH5vaSZNb\nwunTp1FeXi4HKQ4fPtzgd4E29zFwP4g3evRojB49GgsWLEDnzp3x7bffNutcaFPWN998Azs7O7nX\nBnB/4tqWcOLECRgbG6Njx44AgKefflqeiNXQ0BAAsH//ftjZ2cnnhYiIiIjocdGqgZDaoQN1X5/7\nr3/9CwMHDpR/pezRowcmTZoEtVqNlStXwt3dHdeuXcOBAwfQrVs3jBs3DhEREVi3bh3CwsKwePFi\ndOzYEdnZ2ejdu3e9N2DcvXsXUVFRCAsLg6OjIy5fvoysrKx6w19qRUREYPXq1YiIiMDMmTNRUFCA\nhQsXIjIyUn5LghCaX2PZnF+P6zIzM0NUVBSioqIghMCwYcNw+/ZtHD58GHp6epg+fTomTZqEFStW\nICQkBEuXLkWXLl3w008/4csvv8SMGTPQvXv3evnGx8fDw8NDHjpRl7+/P+Lj4x8qENKjRw+EhYVh\n2rRpePfdd+Hu7o6LFy+iuLgYL774otb5ODs7o7i4GDk5OejSpQvMzc0REBAAb29vhISEYPny5ejZ\nsyfKysrw1VdfITAwEEOHDtU6/7lz52LJkiVwcXGBh4cHNmzYgKysLPntNtry9/eHl5eXPGRgyZIl\nCA4OhqOjI8aPHw99fX2cOXMG2dnZeOuttxrM58HrxsnJCWlpaRg2bBgMDQ0b7NkTGBgINzc3TJo0\nCe+++y6EEIiMjISnp6ciyGNsbIzw8HCsWrUK5eXlmDFjBoKDgxUP7YGBgejUqROWLl2qePOKtnWu\nXdeaVq1aBVtbW/Tv3x/t2rXDxo0b0aFDB9jb26NDhw4wNDTE2rVrERERgby8PDmo2hLu3buHKVOm\nYMmSJSgpKcGCBQvw0ksvyb3T6tLmPk5MTER1dTUGDRoEU1NTbNmyBQYGBnBxcWlWvbQpq2fPnigp\nKcFnn32GwYMHIzU1FZs3b24y74ULFyI7O1seErZ7925cunQJTz/9NIyNjZGRkYHo6Gi89NJLciB6\n4sSJiI2NhVqtxuuvv45z587hrbfeQkxMTLPaRURERETUGlrt9bmSJCEtLQ02NjZwdHREQEAAdu/e\njdjYWGRmZioeLNavX4/Jkydj3rx5cHV1xZgxY5CVlSW/ctTW1haZmZmorKyEr68vPDw88P7778t/\nlEuSJPfO0NfXx6+//gq1Wo1evXrhueeew5AhQxSvdazbk8PW1hYpKSnIycmBu7s7pk6diokTJyrG\nzdfNv7F1jaV9UFxcHGJiYrBixQr07dsXQUFB2L59u9zrwNjYGJmZmejatSvGjx8PV1dXqNVq/Prr\nrxofoCsrK7Fx40Y8//zzGs/H+PHjsW3bNty6dUtjnZrq3fLJJ59g4sSJmDlzJlxdXTF58mTcvHmz\nyf3rrg8NDcXo0aPh7+8PKysr+SFt79698PPzw/Tp09GrVy/89a9/xY8//gg7O7tG83/wWM+cORNz\n587FvHnz0K9fP+zcuRPJycmKeSG06cVTUFCg6PYfFBSEPXv2ICMjA15eXvDy8sLy5cub/OX7wfqt\nXLkSGRkZcHBwgKenp8Y0tXbu3AlLS0v4+vrCz88Ptra22LFjhyKNk5MTXnjhBYwZMwb+/v7o3r07\n1q9fXy8vtVqNqqoqjT2imqpz7brmetjeUsD93j1vv/02vLy84OnpiVOnTiElJQVGRkawtLREUlIS\nduzYgT59+iAuLg7vvPOOVnVu6h6WJAkjRoxAnz594Ovri+eeew4BAQGKV30/uE9T97GFhQUSEhIw\nfPhw9OvXD9u3b0dycrJWvSaaW1ZwcDDmzp2LWbNmoX///khPT8fSpUubPDZlZWWK+XjatWuHDz/8\nEEOGDEH//v2xdu1axMXFYeXKlXIac3Nz7N+/H6WlpRg4cCAiIyMRFRWF2bNnN9kuIiIiIqLWJonW\n/nmXiFpcTEwMtm3bhtOnTzeZ9uWXX0ZBQQFSU1PrbXN2dkZSUpI8ua4uU6vVuHr1Knbt2tXWVfmf\nIkkS+J8OtSYpBhAxbV2LPxcJrd/7j4iIqKU1Nv/nYzFZKhE9ejdu3EBubi4+/fRTfPHFF21dHSIi\nIiIiojbRakNjiOjRaWhITV0hISEICAjA1KlT8cwzz7RSzZo2Y8YMmJmZaVwiIiLarF7aHNOWcuHC\nBZiamjZ4HC5evNgq9SAiIiIi0gUcGkNEberKlSvyXDUPMjc3V7yS+H9VdXU1iouLG9zu6OioeNXv\nnxmHxlBr49CY5uPQGCIi+l/AoTFE9NiytLSEpaVlW1ejTenp6f3h1zETEREREZF2ODSGiIiIiIiI\niHQGe4QQEVGrap2ZV4h+V3vNCfD604aFmVlbV4GIiOiRYiCEiIhaFeceoNYkxdYZH9zIWGEiIiLS\nHRwaQ0REREREREQ6g4EQIiIiIiIiItIZDIQQERERERERkc5gIISIiIiIiIiIdAYDIURERERERESk\nMxgIISIiIiIiIiKdwUAIEREREREREekMBkKIiIiIiIiISGcwEEJEREREREREOoOBECIiIiIiIiLS\nGQyEEBEREREREZHOYCCEiIiIiIiIiHQGAyFEREREREREpDMYCCEiIiIiIiIincFACBEREU/W9JEA\nACAASURBVBERERHpDAZCiIiIiIiIiEhnMBBCRERERERERDqDgRAiIiIiIiIi0hkMhBARERERERGR\nzmAghIiIiIiIiIh0BgMhRERERERERKQzGAghIiIiIiIiIp2h39YVICIi3SJJUltXgXRJzO/XnMDj\nc/1ZmJnh2s2bbV0NIiIincRACBERtSrR1hUgnSJBec09LtefdOtWW1eBiIhIZ3FoDBERERERERHp\nDAZCiIiIiIiIiEhnMBBCRERERERERDqDgRAiIiIiIiIi0hkMhBARERERERGRzvjTBUJiYmLQr18/\nrdIWFRVBpVLh+PHjj7hWj68DBw5ApVLh2rVrGj+3lMTERJiZmbVonnU157yTZk5OTjh48OAfzkel\nUiE5ObkFavR4U6vVGDNmzJ+6rI8++ggODg7Q09PD0qVLWzx/IiIiIqI/oxYJhKjVaqhUKqhUKhgY\nGMDa2hp+fn744IMPcO/evZYoQjZ37lxkZmZqldbBwQFlZWXo379/i5RdG1hpbGmLh41Vq1ZBpVLh\n9ddfb/Wya02YMAGFhYXy55YOXDTnvD8OHsdggSRJkCTpD+dTVlaG4ODgFqjR462ljldblXX9+nW8\n8sormD9/PkpLSzFnzhyN6V599VU89dRTMDIygrOzs8Y0p0+fxogRI2BiYgJ7e3vExcXVS3Pw4EF4\nenrC2NgY3bp1w//93/+1aHuIiIiIiFpKiwRCJElCYGAgysrKUFxcjP3792PMmDGIjo7GsGHDUF5e\n3hLFAADat28PCwsLrdKqVCpYWVlBT0+vRcquDazULkuWLEGXLl0U6x582GjpQJAmCQkJ8PLyQmJi\nImpqah55eQ+6d+8ejIyM8OSTT7Z43jU1NaipqWnWeX9cCCEa3d4a18ajYGVlBQMDg7auxiMnhGjy\nHD7OZRUXF6O6uhrPPvssrK2t0b59+wbLVqvVCA8P1xiMuXnzJgIDA2FjY4OjR4/i3Xffxdtvv41V\nq1bJaQoLCzF69GgMHToUJ06cwMKFCxEZGfnYBQOJiIiIiIAWCoQIIWBgYAArKyvY2NjAzc0Ns2fP\nxoEDB3D8+HEsX75cTltZWYn58+ejS5cuaN++PQYNGoR9+/Yp8vvhhx8wduxYdOzYEWZmZhgyZAjO\nnDkDoH5Pg9OnT8Pf3x8dOnSAmZkZBgwYgAMHDgDQPDQmMzMTXl5eMDY2RufOnfHaa6+hqqpK3u7j\n44NXXnkFixYtgqWlJaytrTF37lwIIeTASu1iamqqWJebmwszMzOkpKRg0KBBMDQ0lNu2fPlydO/e\nHSYmJnBzc8PGjRsVbS4pKcGECRPwxBNP4IknnkBwcDDy8/ObPPbfffcdCgoKsHXrVty5cwcpKSla\nnrWGVVZWYtGiRXBycoKRkRG6deuGtWvXAvh9aE3dNqampiqGxiQmJmLp0qU4e/as3FPmk08+AQDc\nuHEDL730EqytrWFubg4fHx8cO3ZMLrs2n5SUFPTt2xeGhobIy8urd96FEIiLi0OXLl1gZGQENzc3\nfPnll/L22nOfnJyMwMBAtG/fHn369EFaWlqT7d+1a5f8y3bXrl3x+uuvK64RJycn/POf/8Q//vEP\ndOjQAV26dMGKFSsU2wFg/PjxUKlU6Nq1K4Dfr93ExER069YNRkZGKC8vx4ULFzBu3DiYm5vD3Nwc\noaGhKCkpkfOr3S8+Ph4ODg4wMTHBuHHjcPXqVQD3r2kDAwNcvnxZ0Y7Fixc32hvKx8cHERERmDNn\nDjp16gQrKyusWbMGFRUVmDFjBjp27AhHR0ds2rRJsV/d3i5/5DgDQFVVFWbOnAk7OzsYGRnBwcEB\nCxculLdv2LABTz31FMzNzWFtbY2wsDCUlpbK22uvx6+++goeHh4wMTHB8OHDUVJSgq+//hpubm4w\nMzPD2LFjcf36dXm/2qEoy5YtQ+fOnWFmZoYpU6agoqKi0fo2dR8vXbpUvm9sbGwQHh6u1XF4mLIW\nLFiAXr16wcTEBM7Ozpg/fz5+++03APfvIw8PDwBA165doVKpcOHCBY3lrFmzBq+88gpcXFw0BmM2\nbtyIiooKJCUloXfv3ggNDcX8+fMVgZB169bB3t4e7777Lnr27Ilp06YhPDxccV8QERERET0uHukc\nIX369MGoUaOwbds2ed3kyZNx6NAhbNq0CWfPnkV4eDjGjBmDU6dOAQBKS0sxdOhQ6OnpIS0tDSdP\nnsSrr76K6upqjWVMnDgRdnZ2yM7OxsmTJxEbGwsjIyONaUtKSvDMM8/A09MTJ06cQEJCAjZt2qR4\n8ALu/+FvYGCA7777Du+99x5Wr16NLVu2aN3uBQsW4M0338S5c+cwaNAgLF68GOvXr8cHH3yAvLw8\nLFy4EP/4xz+wd+9eAEB5eTl8fX1hYmKCzMxMHD58GDY2NggICMDdu3cbLSs+Ph7PP/887OzsMGnS\nJMTHx2tdz4aEh4fj008/xTvvvIMffvgBSUlJeOKJJxpso5eXl2LbhAkTMGfOHPTs2VPuKRMWFgYh\nBJ599llcunQJe/bswYkTJzB8+HD4+fmhrKxM3r+iogLLli3Df/7zH+Tl5cHR0bFeHVevXo0VK1bg\n7bffxpkzZzBu3Dg899xzOHnypCLd4sWLMWvWLJw6dQpPPfUUJkyYgDt37sjbnZycMHnyZPlzamoq\nXnzxRcycORO5ubn4+OOPsXXrVixatEiR7zvvvIP+/fsjJycH8+fPx7x583D48GEAwNGjRwHcPzdl\nZWXIzs6W9yssLMTmzZuxbds2nDp1Cvr6+ggJCcGVK1dw4MABZGRkoLS0FH/5y18U5RUVFeGzzz7D\nrl27kJaWhh9//BFTpkwBAAwfPhzdunWTg03A/Z40n3zyCaZNm1bv2NW1ceNGdOjQAUeOHMGCBQsw\na9YshISEoE+fPjh+/DjCw8MxZcqUekGWBzV1nBuyZs0a7NixA1u2bEF+fj62bNmCXr16ydurqqoQ\nFxeHU6dOYffu3fjll1/wwgsv1MsnJiYGa9euxffff4/r168jLCwMy5YtQ0JCAg4cOIAzZ84gNjZW\nsc/Bgwdx+vRpfP3119i2bRv27duH+fPnN9rGxu7jbdu2YeXKlfjwww+Rn5+P3bt317s3tNVUWQBg\namqK9evX44cffsAHH3yAzZs345///CeA+/fgV199BQDIzs5GWVkZ7O3toVarGxz+0pDvvvsOw4YN\ng6GhobwuKCgIpaWlKC4ultMEBQUp9gsKCsLRo0cb/O4mIiIiImozogWEh4eL4OBgjdvmz58vTExM\nhBBC5OfnC5VKJS5cuKBIExISIiIiIoQQQixatEg4OTmJqqoqjflFR0eLvn37yp/Nzc1FUlKSxrSF\nhYVCkiRx7NgxOe8ePXoo0iQmJgpDQ0Nx9+5dIYQQI0aMEEOGDFGkCQwMFNOmTauX/9tvvy2cnJzk\nzxkZGUKSJJGcnCyvu337tjA2NhZZWVmKfV999VUxevRoIYQQCQkJwsXFRbH93r17olOnTuLzzz/X\n2DYhhLh165YwMzMTBw8eFEIIcfLkSdGuXTtRVlZWr05Xr17V+PlB//3vf4UkSSI1NVXjdk1tFEKI\n9evXC1NTU/nzg+dJCCHS09OFqampfKxrDRgwQCxfvlzOR5Ikcfz4cUWaB/OztbUVcXFxijQ+Pj7i\nxRdfFEL8fu4/+ugjeXtJSYmQJEl888038jp/f3+xaNEi+fOwYcPEsmXLFPlu375d0TZHR0cxceJE\nRRoXFxfFfpIkiW3bttVrQ7t27cTPP/8sr9u3b5/Q09MTxcXF8rqCggKhUqlEenq6vJ+enp746aef\n5DRZWVlCkiSRn58vhBBixYoVwtXVVd6+d+9eYWhoKK5duyavc3Jykq8VITRf65aWliIkJET+XFVV\nJQwMDBRtqds2bY9zQ2bOnCn8/f2bTFcrLy9PSJIkSkpKhBC/X4/79u2T07z33ntCkiSRk5Mjr4uJ\niVFcP+Hh4cLCwkLcuXNHXrdhwwZhaGgoysvL5TS132va3McrV64UPXv2bPC7qzHNLUuTDz/8UHTv\n3l3+nJ2dLSRJUlxbCxcuFAEBARr3f/D7rFZgYKCYOnWqYl1xcbGQJEkcPnxYCCFEjx496t2PBw8e\nFJIkKb6PhBACgIius2QAQnDh8ggXxLR9HWqXd/CqGIEMMQIZAsgQI0YIMWKEEO+80+CtTURERFrK\nyMgQ0dHR8tJYuEO/FQItUKnudzw5fvw4hBDo3bu3Is1vv/0Gf39/AEBOTg6GDh0KfX3tqvbaa69h\n2rRpSEpKgr+/P0JDQ9GzZ0+NafPy8jB48GDFOm9vb1RWViI/Px99+/aFJElwc3NTpLGxscHPP/+s\nVX0AYODAgfK/c3NzUVFRgZEjRyrG31dVVcm/zB47dgyFhYX13rpy9+5dFBQUNFjO5s2bYWNjg+HD\nhwMA3Nzc4OHhgaSkJMybN0/r+taVk5MDlUoFX1/fRtPVbaO2jh07hvLyclhaWirWV1RUKNqpr6+P\nAQMGNJjPzZs3cenSJXh7eyvWDx06VPGLOQDFubSxsQEAxbl8cAjHsWPHkJ2djX//+9/yupqaGlRU\nVODy5cuwtrbWeI3Y2triypUrDda5lr29vaL9eXl5sLW1hYODg7zO2dkZtra2yM3NhZ+fHwDAzs4O\n9vb2cppBgwZBpVIhLy8P3bp1w9///ncsXrwYhw8fxuDBg/Hxxx9j3Lhxjc6roqkdVlZWiiFI+vr6\nsLCwaPL6b+o4N0StViMwMBA9evRAUFAQRo8ejWeeeUa+V44fP47Y2FicPHkS165dgxACAHDhwgXY\n2tpqLN/KygoAFO2wsrKqVx83NzeYmJjInwcPHozKykqcP38effv2VaTV5j4OCwvDmjVr4OzsjJEj\nR2LUqFEYO3Zss+dT0aYsANi6dStWr16N8+fP4/bt26iurm5yjqA333yzWXUB8EgmjI1p8RyJ/hxm\n4V3MwrsAAAnAgQOibStERET0P8THxwc+Pj7y5wd7hNf1yAMhubm58hwJNTU1kCQJR48eRbt27RTp\njI2NAdz/o7v2YUcb0dHRmDRpElJSUpCamorY2FisW7dOMdyhVmN51/1j/8G6SZLUrElI605KWLvf\n7t27FQ+7dcupqanBgAEDNA6/aexBNj4+Hvn5+Yr61tTU4Pr16w8dCNFWQxMvNqampgbW1tbIysqq\nt83c3Fz+t6Gh4UM9fAkh6u1X99jUbmvsXAohEBMTg/Hjx9fbVncy2Ie9Rppz3JpzDCwtLTF27Fgk\nJCTAxcUFu3btwu7du5vcT1M7HqZtzT3Otdzd3VFUVITU1FSkp6cjPDwc/fv3x/79+1FeXo6RI0ci\nKCgIGzZsgJWVFa5cuYJhw4ahsrKyyfLrTpKsqQ3N+Z7R5j62t7fHuXPnkJ6ejrS0NMyZMwexsbH4\n/vvvFQGXlijr8OHDeOGFFxATE4NRo0ahY8eO2LlzJ6KiorQuR1udO3dWDF0DIA+V6ty5c6Np9PX1\nH8kkykREREREf0SLBUI0PbSdOXMGqampeOONNwDcf+gRQuDSpUuKSE1d7u7u2LBhA6qqquo9kDWk\ne/fuiIyMRGRkJCIiIhAfH68xEOLq6orPP/9c8cCclZUFAwMDdOvWrdnt00bv3r1haGiIoqKiBtvs\n6emJzZs3o1OnTujQoYNW+Z49exZHjhxBWlqa/DAC3J9vxNvbG4cOHcKwYcOaXd8BAwagpqYGX3/9\nNUaOHNns/WsZGBjUmxvA09MTly9fhiRJzZ6noC5zc3PY2toiKytL0XMlKysLffr0eeh8AcDDwwN5\neXly8O5htWvXTqu5EVxdXeW5FmrnQikoKEBpaami51RJSQkuXrwo9wo5cuQIampq4OrqKqeZPn06\nnn/+eTg7O8tzzPwZmJqaIjQ0FKGhoVCr1Rg8eDDOnz+PGzdu4OrVq3jzzTflY1M7aXJLOH36NMrL\ny+UgxeHDhxv8LtDmPgbuB/FGjx6N0aNHY8GCBejcuTO+/fbbZp0Lbcr65ptvYGdnh8WLF8vrioqK\ntC6jOZ5++ml5ItbaeUL2798POzs7+bw8/fTT2L59u2K//fv346mnnmqxt3YREREREbWUFpsstXbo\nQGlpKU6ePIlVq1bB19cXAwcOlH+l7NGjByZNmgS1Wo1t27ahoKAAR48exYoVK+Q/oiMiInD79m2E\nhYXh6NGjyM/Px6ZNm+pNggncHzryyiuv4ODBgygqKsL333/f6MNwREQESktLERERgby8POzZs0d+\nzWPtBKtCaH6NZXN+Pa7LzMwMUVFRiIqKwvr165Gfn48TJ05g3bp1+M9//gMAmDRpEqytrRESEoLM\nzEwUFhYiMzMTUVFRDb45Jj4+Hh4eHvDz80Pv3r3lZeDAgfD393/oSVN79OiBsLAwTJs2DcnJySgs\nLMShQ4ewYcOGZuXj7OyM4uJi5OTk4JdffkFlZSUCAgLg7e2NkJAQfPXVVygsLMR3332H6Ohojb1E\nGjN37lysWLECmzdvxn//+18sWbIEWVlZzf5F3N/fXzER6pIlS/DZZ58hOjoaZ86cwQ8//ICtW7c2\nOokmUP+6cXJyQlpaGsrKyhRvK3lQYGAg3NzcMGnSJBw7dgxHjx7FpEmT4OnpqQjyGBsbIzw8HCdP\nnsR3332HGTNmIDg4WPHQHhgYiE6dOmHp0qVQq9VNtl3Ttf6w1/nDWrVqFTZv3oy8vDzk5+fLk7fa\n29vDwcEBhoaGWLt2LQoKCrBnzx45qNoS7t27hylTpiA3Nxf79+/HggUL8NJLL8m90+rS5j5OTExE\nQkICTp8+jcLCQnz88ccwMDCAi4tLs+qlTVk9e/ZESUkJPvvsMxQUFODDDz/E5s2bm8x74cKF9YIy\ntfmXlpaisrISJ0+exIkTJ+Q3JU2cOBEmJiZQq9U4e/YskpOT8dZbb+G1116T85gxYwZKSkowe/Zs\n5OXlIT4+HklJSY+khwoRERER0R/VIoEQSZKQlpYGGxsbODo6IiAgALt370ZsbCwyMzMVDxbr16/H\n5MmTMW/ePLi6umLMmDHIysqSXzlqa2uLzMxMVFZWwtfXFx4eHnj//ffl3iGSJMm9M/T19fHrr79C\nrVajV69eeO655zBkyBDFax3r9uSwtbVFSkoKcnJy4O7ujqlTp2LixImKcfN1829sXWNpHxQXF4eY\nmBisWLECffv2RVBQELZv3y73OjA2NkZmZia6du2K8ePHw9XVFWq1Gr/++qvGoTGVlZXYuHEjnn/+\neY3nY/z48di2bRtu3bqlsU5N9W755JNPMHHiRMycOROurq6YPHkybt682eT+ddeHhoZi9OjR8Pf3\nh5WVlfyQtnfvXvj5+WH69Ono1asX/vrXv+LHH3+EnZ1do/k/eKxnzpyJuXPnYt68eejXrx927tyJ\n5ORkxbwQ2vTiKSgoUHTpDwoKwp49e5CRkQEvLy94eXlh+fLlGt9c01j9Vq5ciYyMDDg4OMDT01Nj\nmlo7d+6EpaUlfH194efnB1tbW+zYsUORxsnJCS+88ALGjBkDf39/dO/eHevXr6+Xl1qtRlVVlcYe\nUU3VuXZdc/2ROSTMzc3x9ttvw8vLC56enjh16hRSUlJgZGQES0tLJCUlYceOHejTpw/i4uLwzjvv\naFXnpu5hSZIwYsQI9OnTB76+vnjuuecQEBCgeNX3g/s0dR9bWFggISEBw4cPR79+/bB9+3YkJyc3\nee08TFnBwcGYO3cuZs2ahf79+yM9PR1Lly5t8tiUlZXVm3do+vTp8PDwwOrVq1FWVgZ3d3d4enri\n0qVLAO6fo/3796O0tBQDBw5EZGQkoqKiMHv2bDkPJycn7N27F5mZmXB3d8e//vUvrF27FuPGjWuy\n7URERERErU0Srf0TMBE1S0xMDLZt24bTp083mfbll19GQUEBUlNT621zdnZGUlKSPLmuLlOr1bh6\n9Sp27drV1lXROZIkgf/pUGuSYgAR09a1qE9C6/fCIyIi0iWNzRH6yCdLJaJH78aNG8jNzcWnn36K\nL774oq2rQ0RERERE9NhqsTlCiOjRaGhITV0hISEICAjA1KlT8cwzz7RSzZo2Y8YMmJmZaVwiIiLa\nrF7aHNOWcuHCBZiamjZ4HC5evNgq9SAiIiIiovs4NIaIHpkrV67Ic9U8yNzcXCderVpdXY3i4uIG\ntzs6OurUm1U4NIZaG4fGEBER6SYOjSGiNmFpaQlLS8u2rkab0tPT+8OvYyYiIiIiopbDoTFERERE\nREREpDPYI4SIiFpV68zOQvS72mtO4PG5/izMzNq6CkRERDqLgRAiImpVnBeBWpMUW2d8cCNjhYmI\niEh3cGgMEREREREREekMBkKIiIiIiIiISGcwEEJEREREREREOoOBECIiIiIiIiLSGQyEEBERERER\nEZHOYCCEiIiIiIiIiHQGAyFEREREREREpDMYCCEiIiIiIiIincFACBERERERERHpDAZCiIiIiIiI\niEhnMBBCRERERERERDqDgRAiIiIiIiIi0hkMhBARERERERGRzmAghIiIiIiIiIh0BgMhRERERERE\nRKQzGAghIiIiIiIiIp3BQAgRERERERER6QwGQoiIiIiIiIhIZzAQQkREREREREQ6g4EQIiIiIiIi\nItIZOhUI+X//7//B19dX/qxWqzFmzJg2rNHjoaioCCqVCsePH2/rqgAADhw4AJVKhWvXrmn8rImP\njw8iIyNbq4qNetyOJ/3Ox8cHSUlJbV2NZvvll1+gUqmQmZn5yMvS5n4jIiIiIvoza7NAyOXLlzF7\n9mz06NEDxsbGsLa2hre3N9577z3cuXPnkZUrSZL877Vr12Ljxo0tmn9DDxFqtRoqlUpeLC0tMWbM\nGJw7d65Fy2+KpoCBg4MDysrK0L9//1arx6pVq6BSqfD666+3SH6SJCnObVtqi+P5sFo6aHPhwgWM\nGTMGpqamsLS0xKuvvoqqqqom94uJiYGdnR1MTEzg6+uL3NxcxfbffvsNkZGRsLS0hKmpKUJCQlBS\nUqJI4+TkpLjHVCoVFi1apEjzOF0nj4OWDCB+8cUXGDhwICwsLGBqagp3d3d88sknGtPWngcuXFpj\nqXvN/dHr7wlz8xa5X4iIiKhttUkgpKioCB4eHti3bx+WLVuGnJwcHDlyBIsWLUJ6ejp27drV4L7a\nPFQ1Rggh/9vMzAzmj+iPmrrlAPf/8AoMDERZWRnKysqwb98+3L17F+PGjXsk5TeHSqWClZUV9PT0\nWq3MhIQEeHl5ITExETU1Na1W7h9RWVmpVbq2OJ4PunfvXrPSP3i9Pozq6mo8++yzuHPnDrKysrBp\n0yZs3boVc+bMaXS/t956C6tWrcJ7772H7OxsWFlZITAwELdv35bTzJo1C8nJydi8eTMOHTqEmzdv\nIjg4WHHtSJKE6Oho+R4rKyvD4sWL/3C7SDtPPvkklixZgu+//x6nT5/G5MmTMXXqVOzZs6deWsGF\nSysuaODfD7Ncv3ULRERE9D9AtIFRo0YJBwcHUV5e3mRaSZLE+++/L8aNGyfat28v5s6dK6qrq8WU\nKVOEs7OzMDY2Fi4uLmL58uWipqZG3u/evXtizpw5wsLCQlhYWIhZs2aJGTNmCB8fHzlNeHi4CA4O\nVpT31ltviW7duon/j737jqviWP8H/tkDAufQJTQpIioiIEkURY0FRMCoBI25SSwRUKPGTmIJXjuJ\nFVGjSRT7vSqSb0ATSxRFRbEhIkiTooAVrAEbgpzn94c/9rJwKBpFE5/367Uv3dnZ2dnZOQf2YXdG\nLpdTmzZtaMuWLeK23NxcEgSBIiMjqWfPnqRQKMjBwYEOHDgg2V55CQgIEI/l4+MjOdauXbtIEAQq\nKSkR086fP08eHh4kl8upcePG5O/vT0VFReJ2pVJJ8+bNI0tLS9LU1KQ2bdrQb7/9Jil37ty51LRp\nU9LU1CQzMzMaOnSoWIeq9cvPzxfrffbsWSIiOnz4MAmCQDExMdShQwdSKBTk4uJCiYmJkuOsX7+e\nrKysSKFQUL9+/einn34iQRDqvKYnTpwgLS0tunr1KhkYGNDu3bsl2yuOf+fOHZXrqri5udH48ePF\n9SdPntDUqVPJ0tKSFAoFtW/fnvbv3y9ur08fqugfCxcuJAsLCzI1NaW8vLxa+wARNXh7EhHNnj2b\nnJycaOPGjWRra0vq6ur08OFD+uOPP6hLly5kaGhIjRs3Jm9vb8rIyBD3q9of3N3dxW0bNmyg1q1b\nk5aWFtnZ2dGyZcsk7VPV3r17SSaT0dWrV8W0LVu2kJaWFt2/f1/lPkqlkszMzGj+/Pli2uPHj0lX\nV5fWrFlDRER//vknaWho0LZt28Q8V65cIZlMJrmmNjY2FBISUms7ubm50ebNm8X1ytfYzMyM9PX1\n6dtvv6Xy8nKaMWMGGRsbk5mZWbVyly5dSs7OzqStrU0WFhY0YsQI+vPPP8Xtw4YNI0dHR3r8+DER\nPfs+6tKlS7XvgJrEx8dT27ZtSUtLi95//33avXs3CYJAsbGxYp60tDTq3bs36erqkomJCQ0cOJAK\nCgqqnVtwcDCZmpqSjo4OBQQEiHWq+n0gk8koPz+/3v21Ptq2bUvTp0+XpAEg4oWXBlww5yWWBTz3\n54Axxhhjr0dtP7cb/Cf67du3SSaT0aJFi+qVXxAEMjExofXr11Nubi7l5eVRWVkZzZo1ixISEig/\nP59++eUXMjAwoPXr14v7LVq0iPT19en//u//KDMzk8aPH096enqSGz1/f3/Jjcn06dPJ3t6e9u/f\nT3l5ebRt2zbS1tamPXv2ENH/bnDt7e1p9+7dlJOTQ35+fmRkZEQPHjyg8vJyioqKIkEQKCMjgwoL\nC6m4uJiIqgddiouLaciQIfTuu++KaQ8ePCBzc3Pq378/paamUmxsLNnZ2dGAAQPEPKGhoaSnp0fh\n4eGUnZ1Ns2bNIjU1NUpKSiIiol9//ZX09PRo7969dOXKFUpISKAff/yRiIiKioqofT2QvQAAIABJ\nREFUc+fONHz4cCosLKTCwkIqLy+v8cbd1dWVjhw5QhcuXCBvb29q3bq1WI8TJ06QTCajxYsXU3Z2\nNq1du5aMjY1JJpPVeU2HDRtGQ4YMISKisWPHUr9+/STbX0YgZNCgQdSpUyc6duwY5ebm0qpVq0hD\nQ4OSk5OJiOrVh/z8/EhXV5eGDBlCaWlplJqaWmcfIKo5EPKq2pPoWSBEW1ubvL296dy5c5SWlkZP\nnz6lyMhIioqKopycHEpJSaFPP/2UWrRoQaWlpUREdObMGRIEgaKjo6mwsJDu3btHRERhYWFkbm5O\nkZGRlJeXR7t27SIzMzNatWqVpH1sbGzE9ZkzZ5KTk5OkXjdv3iRBEOjIkSMq633x4kUSBIESEhIk\n6X369CE/Pz8iIoqJiSFBEOj27duSPI6OjjR79mxx3cbGhszMzMjIyIjee+89+v7778XzrKAqEKKn\np0dfffUVZWZmUnh4OMlkMvL09KTp06dTdnY2rV69mgRBoHPnzon7LV++nA4fPkz5+fkUGxtLzs7O\n9MUXX4jbHz58SHZ2djR27FgiehacNDc3p1u3bqlsh8ru379PxsbG9Omnn1JaWhrt37+f7O3tJYGQ\n69evk5GREX377bd04cIFSklJIR8fH3J1dRWDVRX9t3I5FhYWNGHCBCKq+fugPv2V6Nl385w5c1Se\ng1KppIMHD5KOjg7FxMRItnEghJeGXjgQwhhjjL2d3qhAyKlTp0gQBNq5c6ck3cLCgnR0dEhHR4dG\njx4tpguCIP7iXptp06ZRz549xXVzc3PJX5mVSiXZ2dlJAiGVgxMPHjwguVxOcXFxknInTpxIvXv3\nJqL/3eCGhYWJ269du0aCINDx48eJqOabdj8/P1JXVxfPURAEsra2ptTUVDFPWFgY6evrizfURERH\njhwhQRDo4sWLRETUpEkTCg4OlpTt5uYmBhaWLl1KrVq1orKyMpXtVDVgUPm8qt64R0dHi3mOHz9O\ngiDQtWvXiIjo888/pw8//FBSzsiRI+t8guH+/fukq6sr3tAlJydTo0aNJH/J/quBkJycHJLJZHT5\n8mVJHl9fXxozZkyNZVTtQ35+fmRiYiK5ma5PH2jI9qwwe/ZsatSoEd28ebPWfA8ePCA1NbUa61rB\nyspK8jQUEdGyZcvIwcFBXA8KCpK015dffkkeHh6SfZRKJamrq9P27dtV1qeiHa5cuSJJDwgIIG9v\nbyIi2rp1K6mrq1fbt0ePHpLvitDQUDpy5AilpKTQunXr6J133qERI0ZI9lEVCLG2tpY86eLi4kLv\nvfeeZL+6njb5448/SFNTU5J25swZ0tDQoJkzZ1KjRo1o3759Ne5f2Zo1a8jAwIAePnwopm3ZskUS\nCJk5c2a1tr579y4JgkBnzpwRz83Q0LBaOZqamuLTeKq+D+rTX4mI7O3txSBrhT///JO0tbWpUaNG\npKGhQWvXrq12fhwI4aWhFw6EMMYYY2+n2n5uvzGzxhw/fhxJSUno0KEDnjx5Itnm4uJSLf/q1avh\n4uICExMT6OrqYvny5bhy5QoAoKioCAUFBejUqZOYXxAEuLq64ll7VJeeno6SkhJ4e3tDV1dXXFav\nXo1Lly5J8jo7O4v/Nzc3BwDcvHmzznPs3r07kpOTkZycjPj4eHh4eMDLywtXr14FAGRkZODdd9+F\ntra2uE+nTp0gk8mQnp6O4uJi3LhxAx988IGk3C5duoiDS3766acoKSlBs2bNMGLECPz666/1Htui\nqtrOMzMzEx06dJDkr7quyvbt22Fubo5u3bqJx2jbtu1LnckjMTERRAQHBwfJtdy7d6/kWtbWhyo4\nOTmhUaNG1Y7xIn3gVbRnZZaWljA2NpakXbx4EYMGDUKLFi2gr68PMzMzKJVKXL58ucZybt26hatX\nr2LkyJGS9gsKCpK03/z583HgwAHJvjV9vl5ExcCG9RUYGIju3bvDyckJw4cPx88//4z169fj3r17\nte7n4OAgOZapqSmcnJwkeUxNTXHr1i1x/dChQ/D09ISVlRX09PQwYMAAlJWVoaCgQMzj4uKCf//7\n3/juu+8watQoeHt71+s8Kr4HFAqFmNaxY0dJnrNnz+Lo0aOS62NtbQ1BEHDx4kUxn7Ozc7VySktL\nJXlqUlcfz8jIwJgxYyT76Onp4fz580hISMCCBQswceJE/P777/U6b8YYY4wxxhqKekMfsEWLFhAE\nARkZGfD19RXTmzZtCgCSX9orVA4MAEBERAQCAwOxdOlSdO7cGXp6eli1ahV27NhR67Fru0mrGHRx\n9+7dsLa2lmyreiNceb3iBqo+A37K5XLY2toCAGxtbbFu3Tro6+tj7dq1mDt3bq11rO2mkIjE7ZaW\nlsjMzERMTAwOHjyIb775BnPnzsXp06dVtm1tXvQ8a7Nu3Trk5ORIylYqlbh37x6mTp36l8quXJ4g\nCEhISKh27eRyOYD696Ga2uxF2uZVtGdlVT8nANC3b19YW1sjLCwMFhYWUFNTg4ODQ63BsYo6rVmz\nBp07d6738c3MzHDixAlJ2u3bt1FeXg4zM7Ma9wGezSJlaWkpphcWForbzMzMUF5ejjt37sDIyEjM\nU1BQIAbUVGnfvj0AICcnR/y/Kurq0q9BQRCq9RtBEMR2yc/PR58+fTBq1Ch89913MDIywtmzZzFw\n4EBJuxIRjh07BjU1NeTk5NR4fFXqCigREfr27YuQkJBq20xMTOpdTm1epL8KgiB+xzk7OyMjIwPL\nli3DRx999ML1YIwxxhhj7GVr8CdCjIyM4OXlVeM0uURU5y/vcXFxcHV1xZgxY/Dee+/B1tYWOTk5\n4i/r+vr6MDc3x8mTJyXlxsfH1xhQcHBwgKamJvLy8mBraytZrKys6n1+GhoaAJ7NoFFVTcd+9OiR\nWIeUlBTJbBknTpyAUqlE69atoaenhyZNmiAuLq5aezg6Oorrmpqa6N27N0JDQ3HmzBmkpaWJN6ga\nGhrPPaOIKvb29oiPj5ekVV2vKi0tDfHx8Thw4ID4ZExycjJOnz6NvLw8HDt27C/XCwDef/99EBFu\n3LhR7VpW/GW7rj7U0F6kPety584dZGZmYvr06ejRowdatWqF4uJiyfVX1V9NTU3RpEkT5OTkVGu/\niptcVTp37oyMjAzJtLYHDhyApqYm2rVrp3KfZs2awczMDNHR0WJaSUkJ4uLixCBMu3bt0KhRI0me\nq1ev4sKFC7UGapKSkgD872mGmjzvNU9ISEBZWRmWLVsGV1dXtGjRotpUvsCzKaKTkpJw7NgxnDp1\nCitXrqxX+RXfAxXfCwBw6tQpSZ62bdsiNTUV1tbW1a6Pjo6OmE9VORoaGmjevDmAl/d9UJPy8vK/\nzaxQjDHGGGPs7fFaXo356aefoFQq0a5dO2zfvh3p6enIyspCeHg4zp8/X+0vtFW1atUKiYmJ2Ldv\nH7KzsxEcHIyjR49KAigTJ07E4sWLERkZiczMTEyaNAkFBQU1Bll0dXUxefJkTJ48GRs3bkROTg6S\nkpKwevVqrF27tt7n1rRpUwiCgN27d+PWrVuSYE9JSQkKCwtRUFCAjIwMjB8/Ho8fP4aPjw8AYPDg\nwVAoFBg6dChSU1Nx9OhRjBo1CgMGDBBvQKdMmYKQkBBs374dWVlZmDVrFuLi4jB58mQAwKZNm7B+\n/XqkpKQgNzcXGzZsgIaGBlq2bAkAsLGxQXx8PPLz83H79u0X/ovxhAkTEB0djZCQEGRnZ2P9+vXY\nuXNnrTeV69atQ9u2bdGjRw84ODiIi4uLCzw8PLBu3boXqgsgDaDZ2dlh8ODB8Pf3R2RkJC5duoSE\nhASEhISIT3zUpw81pBdpz7oYGhrinXfeQVhYGHJychAbG4vRo0dLPl8mJiaQy+XYt28fCgsLUVRU\nBACYO3cuFi9ejOXLlyMzMxOpqan4z3/+g4ULF4r7BgUFoWfPnuK6l5cXHB0dMXToUCQlJeHgwYOY\nOnUqRo4cKd6cX7t2Dfb29ti5cyeAZ0GISZMmYdGiRdixYwdSU1Ph7+8PXV1dDBo0CMCzwObw4cMx\ndepUxMTE4Ny5c/jiiy/w7rvvisc/deoUli1bhqSkJOTm5uKXX37B2LFj4evrK3nSRJWq11xVMLby\nesuWLaFUKrFs2TLk5uYiPDwcK1askORPTk7GjBkzsHbtWnTs2BE//fQTpk2bJr7CVptBgwZBXV0d\nw4YNQ3p6Og4cOIDvv/9ekmfs2LEoKirCZ599hvj4eFy6dAkHDx7EqFGjJIHUp0+fSsr59ttvMXLk\nSPHJqL/yfWBvb48ff/xRXP/+++8RExODS5cuISMjA0uXLsWWLVvwxRdf1LtMxhhjjDHGGsTLH5Kk\nfgoKCmjixInUokUL0tTUJB0dHerQoQMtXLhQMlhoxVSllZWWltLw4cPJ0NCQDAwMaMSIETRv3jxq\n1qyZmOfp06cUGBhIBgYGZGBgQBMmTKCvvvqq1lljiIhWrlxJDg4OpKmpScbGxuTl5UUHDx4komcD\nS8pksmoDS1atY3BwMJmbm5NMJhOnz/X395dMVamnp0eurq4UFRUlKSslJUWcPtfQ0JACAgLEmWeI\nng0+GRwcTFZWVqShoUHOzs6S6XN37txJnTp1IgMDA9LW1qYOHTqIs94QEWVlZVGnTp1IoVCI02VW\nPa/Dhw+TTCaTDE6q6tw3bNhAVlZWJJfLycfHh0JCQkgul5MqT548IWNjY1qwYIHK7Rs2bCBtbW0q\nLi6udnxV9amq6qCPZWVlNGfOHLK1tSUNDQ0yMzMjX19fcQrQ+vQhVf2jPn2gIdqzqjlz5lCbNm2q\npR86dIicnJxIS0uL2rRpQ/v37ycdHR3JgKHr1q0ja2trUlNTk3w+wsPDxSlcDQ0NqWvXrhQRESFp\nn8rtRUR0+fJl6tu3LykUCjIyMqKJEyeqHGy28vEr6m9ubk5aWlrk5uZGaWlpku1Pnjyh8ePHk5GR\nESkUCvroo48k0/QmJiZSx44dycDAgORyOdnb29PcuXPFqWIrVB0sVdU17tu3r/i5rdCxY0eaMmWK\nuP7DDz+QhYUFyeVy6tmzJ/3yyy/i5+nx48fk5OREw4cPl5TxxRdf0HvvvVdtJhtVTp8+TW3btiVN\nTU167733aNeuXSSTySTT52ZnZ9Mnn3xChoaGJJfLqVWrVjRhwgSxfH9/f+rbty/NmzePTExMSEdH\nh/z9/SVtour7oL79VRAEmjt3rrgeFBRELVu2FKf+/uCDD1QOkos3YPBMXt6uhQdLZYwxxt5Otf3c\nFv5/Bsb+ssDAQBw6dAjJycmvuyr/CNyeL5+7uzsCAgIwdOjQ112VV87f3x937tzBrl27XndVJARB\nAP/QYQ1JmAPQnJdUFgD+tYkxxhj7exAEocaf2w0+WCr751iyZAk8PT2ho6ODgwcPYs2aNViwYMHr\nrtbfFrdnw+CbGMYYY4wxxt5uHAhhL+zs2bNYunQpioqKYGtri4ULF2LChAmvu1p/W7W1p6OjY41T\n3oaFhWHgwIENWdW/tdc1IG6F+fPn1xjg6tatG/bs2fNSjiMIwms/15rMqfR/t/+/MPamWo6J2Il+\n4rqb27N/+/UDJk16PXVijDHGWHVHjhzBkSNH6pWXX41h7G/gypUrKCsrU7nNxMREMlMIe7Pdu3cP\n9+7dU7lNLpfXOcvN3x2/GsMaGr8awxhjjL2d+NUYxv7mnmcKZ/ZmMzQ0hKGh4euuBmOMMcYYY2+t\n1zJ9LmNvmyNHjkAmk+Hu3buvuyr/GHl5eZDJXu5XmL+/vzid9d9NRXskJia+7qowxhhjjDH2RuNA\nCGMvmY2NDZYuXSpJ++CDD1BQUIDGjRu/0mO/7pvh5ORkDBw4ENbW1lAoFLC3t8eSJUuqPZKWkpKC\n7t27Q6FQwNLSEsHBwdXKio2NRbt27SCXy9G8eXOsWbPmldf/TR5XoyHNmTMHFhYWUCgUcHd3R3p6\neq35KwJ9VZesrKwGqjFjjDHGGGP1x6/GMPaSqbqRbtSoEUxMTBqsDi/jHfanT59CXf35viISExNh\namqKLVu2wNraGqdPn8aXX36Jp0+fIigoCABQXFwMT09PuLm5ISEhARkZGQgICIC2tja+/vprAEBu\nbi569+6NESNGYNu2bTh27BjGjBkDY2NjfPzxx3/53GrC7/4DixYtQmhoKDZv3gw7OzvMmzcPnp6e\nyMzMrHMsmvT0dEmw75133nnV1WWMMcYYY+y58RMh7B/Jzc0NY8eOxfTp02FsbAxTU1NMmTKlXje6\npaWlmDZtGqysrKCtrY0OHTogOjpa3F5WVoYJEybAwsICWlpasLa2Fm/y3dzckJ+fjylTpkAmk0FN\nTQ1A9VdjNm3aBF1dXezbtw/29vbQ1taGr68viouLERERATs7OxgYGMDf3x9PnjwRj71v3z507doV\njRs3hpGREXr16oULFy6I221tbQEA7du3h0wmQ48ePQAASqUSwcHBsLKygpaWFpydnfH777+L+1U8\nSbJ9+3b06NEDCoUCYWFhKCoqwhdffAFTU1PxyYwVK1bU2HYBAQFYvnw5unXrBhsbG3z22Wf46quv\nEBkZKebZunUrSkpKsHnzZjg4OGDAgAGYNm0aQkNDxTyrV6+GpaUlVqxYgVatWmHEiBHw8/NDSEhI\nrdduzZo1sLOzg1wuh7GxMXr16gWlUglA9Wsvc+bMQZs2bcT1igGVvvvuO5iZmUFXVxfDhg1DSUmJ\nmOfo0aPo2LEjdHV1YWBgAFdXV6SlpQEA7t69i4EDB8LKygoKhQJOTk7YtGmT5Jhubm4YM2YMvvnm\nGxgZGcHExAQ//PADSkpKMHr0aBgYGKBp06YIDw+vdn3Cw8PRpUsXyOVytG7dGgcOHKi1PdLT09Gn\nTx/o6enB1NQUgwYNQmFhYY35iQjLly9HUFAQ+vfvD0dHR2zevBn379/Htm3baj0WABgbG8PExERc\nXvarS4wxxhhjjL0M/Fsq+8faunUrNDQ0cPLkSaxatQrLly9HREREnfsFBATg2LFjCA8PR1paGvz8\n/ODj44Pz588DAH744Qfs3LkTERERyMnJQUREBOzt7QEAO3bsgKWlJWbPno2CggLcuHGjxuM8efIE\noaGhCA8PR0xMDBISEvDxxx9j69atiIqKws6dO/H777/j559/Fvd59OgRvv76a5w5cwaxsbHQ19eH\nj4+POKNMfHw8AGD//v0oKChAVFQUAGDFihUICQnBkiVLkJqaiv79++Pjjz9GcnKypE5BQUEYN24c\nMjIy4OvrixkzZiA1NRV79uxBVlYWNmzYAAsLCzG/v78/mjVrVmt7FhUVSZ4SOHnyJLp27QpNTU0x\nzcvLC9evX0d+fr6Yx8vLS1KOl5cXEhISUF5ervI4CQkJGDduHObOnYusrCzExMTgww8/FINf9Xnt\nhYgQGxuLlJQUHDp0CJGRkYiOjsa0adMAPHtKxtfXF926dcP58+cRHx+PwMBAMeBVUlICFxcX7Nmz\nB+np6Zg4cSJGjRqFQ4cOSY6zdetW6OvrIz4+Ht9++y0mTZoEX19fODo6IjExEX5+fhg2bFi1oMXU\nqVMxadIkJCcnw9PTE76+vrh+/brKc7lx4wa6desGZ2dnnDlzBjExMXjw4AF8fX3FNqkI0B09ehTA\nsydxCgsLJW2vpaWFbt264cSJE7W2HQC4uLigSZMm6NmzZ72nLmOMMcYYY6zBEWP/QN27d6fOnTtL\n0jw9PWnEiBG17peTk0MymYwuX74sSff19aUxY8YQEdGECRPIw8OjxjJsbGxo6dKlkrTDhw+TIAh0\n584dIiLauHEjCYJAWVlZYp7JkyeTmpqamIeIyN/fn/r27VvjsR48eEBqamp0/PhxIiLKzc0lQRDo\n7NmzknxNmjSh4OBgSZqbmxsNGTJEsl9oaKgkz0cffUTDhg2r8fhBQUHUs2fPGrefPXuWtLS0KCoq\nSkzz9PSk4cOHS/Ll5+eTIAh06tQpIiKys7OrVt/Y2FgSBIEKCgokda4QGRlJ+vr6dP/+fZV18fPz\nq9aWs2fPJicnJ0keQ0NDevjwoZi2ZcsW0tTUpEePHtGdO3dIEASKjY2t8Zyr+vzzzyX9TlXfNDY2\nJl9fX3G9rKyMNDQ0KDIyUnKu8+fPF/MolUqys7OjGTNmSPJUXPuZM2dW66d3794lQRAoPj6eiIji\n4+OpdevWdObMGSIiOn78OAmCQFeuXJHsFxAQQN7e3jWeY2ZmJq1Zs4YSExPp5MmTNGbMGJLJZHTs\n2LFqeQEQ8cJLAy6Y8xLLAmr8HDDGGGPszVLbz20eI4T9IwmCAGdnZ0maubk5bt68Wet+iYmJICI4\nODhI0p88eQIPDw8Az56C8PT0hJ2dHby8vNC7d298+OGHzz3IpqamJlq2bCmum5iYwMzMTPL0hImJ\niWSgyosXL2LmzJmIj4/HrVu3oFQqoVQqcfnyZXTu3FnlcYqLi3Hjxg188MEHkvQuXbpg7969kjQX\nFxfJ+ldffYVPPvkEZ8+ehaenJ3x8fNCtWzdx+/z582s8v8zMTPTp0weBgYHo37+/mP6qBiP18vJC\n06ZN0axZM3h7e8PLywsff/xxneNaVOXs7AyFQiGud+zYEaWlpbh48SKcnJzg7+8Pb29veHh4wMPD\nA5988ok4vXF5eTkWLlyIiIgIXL9+HU+ePEFpaSnc3d3F8lT1TRMTE8krOurq6jA0NKzWXzt16iQp\nx9XVtcaBTM+ePYujR49CV1dXki4IAi5duoT27dujffv2dQ6EWnm/mtjZ2cHOzk5c79ixI/Ly8rBk\nyRJ06dKlXuUzxhhjjDHWUPjVGPaP1ahRI8m6IAjieBE1USqVEAQBCQkJSE5OFpcLFy5gw4YNAID3\n338feXl5WLBgAZRKJfz8/ODp6YlnQcf6qzoQqSAIdda5b9++uHPnDsLCwhAfH49z585BXV0dpaWl\nz3VsACCiaje32trakvVevXohPz8fkydPxu3bt9GnTx8MGzaszrIvXLgANzc3DBo0qFqwxMzMDAUF\nBZK0ildAzMzMas2jrq5e4wCcOjo6SExMxC+//AJra2ssWLAA9vb24utJMpms2jWqeKWosrqu44YN\nG3D69Gl069YNv//+O1q1aiWOIRMSEoLQ0FBMmzYNhw4dQnJyMvr16ycZ5wVQ3TdfpL+quoaVt/Xt\n21fSj5OTk5GdnY0+ffqo3Kei/au+klNYWChuq68OHTogOzv7ufZhjDHGGGOsIXAghL1V6noa4f33\n3wcR4caNG7C1tZUs5ubmYj4dHR0MGDAAP/30E/bs2YNDhw7h4sWLAAANDY0ax7H4K+7cuYPMzExM\nnz4dPXr0QKtWrVBcXIynT5+KeTQ0NABAcnw9PT00adIEcXFxkvLi4uLg6OhY53GNjIwwZMgQbNy4\nEevWrcPmzZtVBhAqpKenw83NDZ999lm1aYSBZ081HDt2TBIcOHDgACwsLNC0aVMxT9WBQA8cOID2\n7duL43GooqamBnd3d8yfPx/nz5/Hw4cPsWfPHgDPBvKsOmZLUlJStT6RkpKCR48eieunTp2ChoYG\nmjdvLqY5Oztj6tSpOHz4MNzc3PCf//wHwLM2/eijjzB48GA4OzujWbNmyMzMfGlPwZw8eVL8PxEh\nPj4erVu3Vpm3bdu2SE1NhbW1dbW+XNNTMs2aNYOZmZlkcOCSkhLExcXV+MRRTZKSktCkSZPn2ocx\nxhhjjLGGwIEQ9o9ERCr/sl/XX/vt7OwwePBg+Pv7IzIyEpcuXUJCQgJCQkKwY8cOAEBoaCi2b9+O\njIwM5OTkiANfWlpaAgBsbGxw9OhRXL9+Hbdv335p52RoaIh33nkHYWFhyMnJQWxsLEaPHi15ssTE\nxARyuRz79u1DYWEhioqKAABTpkxBSEgItm/fjqysLMyaNQtxcXGYPHlyrcecNWsWfvvtN2RnZyMj\nIwNRUVFo3ry5+PRCUFAQevbsKeZPS0uDu7s73N3dERQUhIKCAnGpMGjQICgUCvj7+yMtLQ1RUVFY\ntGiROHUuAIwePRrXrl1DYGAgMjIyxABMbfXds2cPVqxYgXPnziE/Px9bt27F/fv3xUCBh4cHzp07\nh40bNyInJweLFy/GiRMnqvWJp0+fYtiwYUhPT8eBAwfw7bffYuTIkZDL5cjNzcW3336LkydPIj8/\nH4cPH8b58+fFV6latWqFgwcP4vjx47hw4QLGjRuHvLw8yTFU9c36Pk20evVqREZGIjMzE5MmTcKV\nK1fw1Vdfqcw7duxYFBUV4bPPPkN8fDwuXbqEgwcPYtSoUXjw4AGAZ4Pr2tvb48yZMwCeBQonTZqE\nRYsWYceOHUhNTYW/vz90dXUxaNAgseyhQ4fCz89PXF++fLnYT9LS0hAUFITffvsN48aNU1k3gRde\nGnBBDf9/kcWwyqtmjDHGGPt74jFC2D+SqhlC6jNrCABs3LgR33//PaZOnYqrV6+icePGcHV1FccI\n0dPTw5IlS5CdnQ1BENC2bVv88ccf0NLSAgDMmzcPo0aNQvPmzVFaWio+naGqPs9TZ5lMhoiICEyY\nMAFt2rRBy5YtERISggEDBoj51dXV8cMPP2DevHmYO3cuunXrhkOHDmHChAm4f/8+pk6disLCQtjb\n2yMqKqra1LFVaWlp4d///jdyc3OhpaWFTp06YdeuXeL2goICXLp0SVz/9ddfcevWLUREREhm6BEE\nQWwHPT09HDhwAGPHjoWLiwsaN26MyZMnIzAwUMxvY2ODvXv3IjAwED///DMsLCywcuVKyVgjVRkY\nGOC3335DcHAwHj16hBYtWmD9+vXi2CheXl6YPXs2/v3vf+PRo0cYMmQIxowZIzkfQRDg5uYGR0dH\nuLu749GjR/jkk0+wePFiAM9eHcrOzsa//vUv3L59G6amphgyZIg4q8yMGTOQm5uLDz/8EHK5HAEB\nARg8eDAyMjLqvM71sXDhQoSGhiIxMRE2NjbYsWOH5KmLyuWYm5vj+PHjCAppT2NjAAAgAElEQVQK\nQq9evVBSUgJra2t4e3uLM/Y8evQI2dnZePz4sbjf1KlT8fjxY4wdOxb37t1Dx44dER0dLXlt6sqV\nK5JjlZWVYcqUKbh69SrkcjmcnJywd+9e9OrVS+V5PO9rZIz9FcJc4X99ThC4/zHGGGMMAvFvBIyx\nv6G8vDzY2trWOY7GP0HFuSYkJKBt27avuzp/icA3oqyBCXMF0Oz/BULA/Y8xxhh7K9T2eye/GsMY\nY4wxxhhjjLG3Br8aw94qx44dQ+/evVVuEwQBxcXFDVwj9le8qql430Rv07kyxhhjjDH2KvGrMeyt\nUlJSguvXr9e43dbWtgFrw9jbh1+NYQ2NX41hjDHG3k61/d7JT4Swt4qWlhYHOxhjjDHGGGPsLcZj\nhDDGGGOMMcYYY+ytwYEQxhhjjDHGGGOMvTU4EMIYY4wxxhhjjLG3BgdCGGOMMcYYY4wx9tbgQAhj\njDHGGGOMMcbeGhwIYYwxxhhjjDHG2FuDAyGMMcYYY4wxxhh7a3AghDHGGGOMMcYYY28NDoQwxhhj\njDHGGGPsrcGBEMYYY4wxxhhjjL01OBDCGGOMMcYYY4yxtwYHQhhjjDHGGGOMMfbW4EAIY4wxxhhj\njDHG3hocCGGMMcYYY4wxxthbgwMhjDHGGGOMMcYYe2twIKSScePGwd3dXVz39/eHj4/Pa6zRmyEv\nLw8ymQyJiYmvuyoAgCNHjkAmk+Hu3bsq11Vxc3PD+PHjG6qKtXrT2vNt4e/vj7lz577uarwQHR0d\nbN68+ZUfh/smY4wxxhh7G7yxgZDCwkIEBgbCzs4Ocrkcpqam+OCDD7Bq1So8fPjwlR1XEATx/ytX\nrsTWrVtfavk13bT7+/tDJpOJi7GxMXx8fJCZmflSj18XVQEDa2trFBQU4N13322weoSGhkImk2HG\njBkvpTxBECTX9nV6He35ol72jfHly5fh4+MDHR0dGBsbY+LEiSgrK6tzvzlz5sDCwgIKhQLu7u5I\nT0+XbA8LC4O7uzsMDAwgk8lw+fLlamW8SX3geb2Kur/MQG9sbCw6d+6Md955BwqFAq1bt8bSpUtf\nStmMMcYYY4y9bG9kICQvLw9t27ZFdHQ0vvvuO5w7dw7x8fGYPn06YmJisGvXrhr3rc9NVW2ISPy/\nrq4u9PT0/lJ59TkO8OxGx9PTEwUFBSgoKEB0dDQeP36M/v37v5LjPw+ZTAYTExOoqak12DHXr18P\nV1dXbNq0CUqlssGO+1eUlpbWK9/raM+qnj59+lz5q/bXF1FeXo4+ffrg4cOHiIuLQ3h4OH799Vd8\n8803te63aNEihIaGYtWqVThz5gxMTEzg6emJBw8eiHkeP36MXr161fnEx8s4D1adrq4uJk2ahGPH\njiEjIwMzZszA7Nmz8eOPP6rMXxHY4YWXhlgq9zlV/a/xK/o5zxhjjLE3GL2BevXqRdbW1vTo0aM6\n8wqCQD/++CP179+ftLW1acqUKVReXk7Dhg2jZs2akVwup5YtW9LixYtJqVSK+z19+pS++eYbMjQ0\nJENDQ5o0aRKNHj2a3NzcxDx+fn7Ut29fyfEWLVpEzZs3J7lcTm3atKEtW7aI23Jzc0kQBIqMjKSe\nPXuSQqEgBwcHOnDggGR75SUgIEA8lo+Pj+RYu3btIkEQqKSkREw7f/48eXh4kFwup8aNG5O/vz8V\nFRWJ25VKJc2bN48sLS1JU1OT2rRpQ7/99puk3Llz51LTpk1JU1OTzMzMaOjQoWIdqtYvPz9frPfZ\ns2eJiOjw4cMkCALFxMRQhw4dSKFQkIuLCyUmJkqOs379erKysiKFQkH9+vWjn376iQRBqPOanjhx\ngrS0tOjq1atkYGBAu3fvlmyvOP6dO3dUrqvi5uZG48ePF9efPHlCU6dOJUtLS1IoFNS+fXvav3+/\nuL0+faiifyxcuJAsLCzI1NSU8vLyau0DRNTg7UlENHv2bHJycqKNGzeSra0tqaur08OHD+mPP/6g\nLl26kKGhITVu3Ji8vb0pIyND3K9qf3B3dxe3bdiwgVq3bk1aWlpkZ2dHy5Ytk7RPVXv37iWZTEZX\nr14V07Zs2UJaWlp0//59lfsolUoyMzOj+fPni2mPHz8mXV1dWrNmTbX8Z86cEfttVf7+/jRnzpxq\nbbJp0yZq2rQpaWtrU0BAAJWWltIPP/xAlpaWZGRkRJMnT5aU89///pdcXFxIV1eXTExM6F//+hdd\nu3ZN3D5v3jwyMzOjmzdvimmff/45tW3blsrKympsnwrZ2dnUvXt30tLSolatWtGuXbtIR0eHNm/e\nLOa5evUqffbZZ+L3V58+fSg7O7vaua1du5asrKxILpdTv3796Pbt2+L2qtc2Nja2zu+w59G/f38a\nNGhQtXQARLzw0oAL5tSxHXju/s0YY4yxN19tP+PfuJ/+t2/fJplMRosWLapXfkEQyMTEhNavX0+5\nubmUl5dHZWVlNGvWLEpISKD8/Hz65ZdfyMDAgNavXy/ut2jRItLX16f/+7//o8zMTBo/fjzp6elJ\nbvT8/f0lwYnp06eTvb097d+/n/Ly8mjbtm2kra1Ne/bsIaL/3eDa29vT7t27KScnh/z8/MjIyIge\nPHhA5eXlFBUVRYIgUEZGBhUWFlJxcTERVQ+6FBcX05AhQ+jdd98V0x48eEDm5ubUv39/Sk1NpdjY\nWLKzs6MBAwaIeUJDQ0lPT4/Cw8MpOzubZs2aRWpqapSUlERERL/++ivp6enR3r176cqVK5SQkEA/\n/vgjEREVFRVR586dafjw4VRYWEiFhYVUXl5e4427q6srHTlyhC5cuEDe3t7UunVrsR4nTpwgmUxG\nixcvpuzsbFq7di0ZGxuTTCar85oOGzaMhgwZQkREY8eOpX79+km2v4xAyKBBg6hTp0507Ngxys3N\npVWrVpGGhgYlJycTEdWrD/n5+ZGuri4NGTKE0tLSKDU1tc4+QFRzIORVtSfRsxtfbW1t8vb2pnPn\nzlFaWho9ffqUIiMjKSoqinJyciglJYU+/fRTatGiBZWWlhLR/wIL0dHRVFhYSPfu3SMiorCwMDI3\nN6fIyEjKy8ujXbt2kZmZGa1atUrSPjY2NuL6zJkzycnJSVKvmzdvkiAIdOTIEZX1vnjxIgmCQAkJ\nCZL0Pn36kJ+fX7X8zxsI0dHRoQEDBlBaWhrt37+fdHR0yNPTk4YNG0YXLlygHTt2UKNGjWjHjh3i\nfhs2bKA//viDcnNzKT4+ntzd3albt27i9vLycuratav4ed68eTMpFArKzMxUeY6VlZeXk5OTE3Xv\n3p2SkpLo+PHj5OLiQo0aNRIDIQ8fPqSWLVtSQEAApaSkUGZmJo0YMYKaNm0qBo8rzs3d3V0sx9HR\nkT766CMievZd8tlnn5GXl5f4WS8tLa1X/yUiatq0Kfn7+9d4HomJiWRmZkYbN26sto0DIbw09MKB\nEMYYY+zt9LcKhJw6dYoEQaCdO3dK0i0sLEhHR4d0dHRo9OjRYrogCDRhwoQ6y502bRr17NlTXDc3\nN5f8lVmpVJKdnZ0kEFI5OPHgwQOSy+UUFxcnKXfixInUu3dvIvrfDW5YWJi4/dq1ayQIAh0/fpyI\nar5p9/PzI3V1dfEcBUEga2trSk1NFfOEhYWRvr6+5IbkyJEjJAgCXbx4kYiImjRpQsHBwZKy3dzc\nxMDC0qVLqVWrVjX+ZbpqwKDyeVW9cY+OjhbzHD9+nARBEP8y/vnnn9OHH34oKWfkyJF1PsFw//59\n0tXVpdjYWCIiSk5OpkaNGlFBQYGY568GQnJyckgmk9Hly5cleXx9fWnMmDE1llG1D/n5+ZGJiYkY\nNCCqXx9oyPasMHv2bGrUqJHkKQVVHjx4QGpqajXWtYKVlZXkaSgiomXLlpGDg4O4HhQUJGmvL7/8\nkjw8PCT7KJVKUldXp+3bt6usT0U7XLlyRZIeEBBA3t7e1fI/byBELpeLwUgiok8++YRMTEwknw83\nNzcaN26cyvoREWVkZEiuFRFRfn4+GRgY0JQpU0hPT49Wr15d4/6V7d+/n9TU1CTnGxcXR4IgiIGQ\n9evXU8uWLSX7PX36lIyMjOiXX34Rz62mcnJycohI9RNv9em/REQeHh40ffr0avW3sLAgTU1Nkslk\nNHv2bJXnyIEQXhp64UAIY4wx9naq7Wf8GzlGiCrHjx9HUlISOnTogCdPnki2ubi4VMu/evVquLi4\nwMTEBLq6uli+fDmuXLkCACgqKkJBQQE6deok5hcEAa6urnjWXtWlp6ejpKQE3t7e0NXVFZfVq1fj\n0qVLkrzOzs7i/83NzQEAN2/erPMcu3fvjuTkZCQnJyM+Ph4eHh7w8vLC1atXAQAZGRl49913oa2t\nLe7TqVMnyGQypKeno7i4GDdu3MAHH3wgKbdLly7i4JKffvopSkpK0KxZM4wYMQK//vprvce2qKq2\n88zMzESHDh0k+auuq7J9+3aYm5ujW7du4jHatm37UmfMSExMBBHBwcFBci337t0ruZa19aEKTk5O\naNSoUbVjvEgfeBXtWZmlpSWMjY0laRcvXsSgQYPQokUL6Ovrw8zMDEqlUuVgoxVu3bqFq1evYuTI\nkZL2CwoKkrTf/PnzceDAAcm+NX2+XkTF+/5/hbW1NXR1dcV1ExMT2NnZQV1dXUwzNTWVXLvExET4\n+vrCxsYGenp6aN++PQBI2sza2horVqxASEgIunfvjlGjRtWrPhkZGbCwsIClpaWY1qFDB8hk//uq\nPnv2LHJzcyVtb2BggD///FPS/jWVk5GRUWc96uq/Bw8exPfff19tv+PHj+Ps2bNYs2YNVqxYgZ9+\n+qle580YY4wxxlhDUq87S8Nq0aIFBEFARkYGfH19xfSmTZsCABQKRbV9KgcGACAiIgKBgYFYunQp\nOnfuDD09PaxatQo7duyo9di13aRVDNi5e/duWFtbS7ZVvRGuvF5xs1afAT/lcjlsbW0BALa2tli3\nbh309fWxdu1acRDImupY200hEYnbLS0tkZmZiZiYGBw8eBDffPMN5s6di9OnT6ts29q86HnWZt26\ndcjJyZGUrVQqce/ePUydOvUvlV25PEEQkJCQUO3ayeVyAPXvQzW12Yu0zatoz8qqfk4AoG/fvrC2\ntkZYWBgsLCygpqYGBweHWoNjFXVas2YNOnfuXO/jm5mZ4cSJE5K027dvo7y8HGZmZjXuAzybRary\nTX1hYWGN+zyPqtdfEARJEKRCxTk/fPgQ3t7e8PLywpYtW2BiYoJbt26ha9eu1dosNjYWampquHz5\nMkpLS6GhofGX61tRl/feew8RERHVthkaGj5XWTV9b7xoX6z4nnZ0dERhYSGWLFmCMWPGPFedGGOM\nMcYYe9XeuCdCjIyM4OXlVeM0uURU51+V4+Li4OrqijFjxuC9996Dra0tcnJyxF/o9fX1YW5ujpMn\nT0rKjY+Pr/HGwMHBAZqamsjLy4Otra1ksbKyqvf5VdwMlZeXV9tW07EfPXok1iElJUUyW8aJEyeg\nVCrRunVr6OnpoUmTJoiLi6vWHo6OjuK6pqYmevfujdDQUJw5cwZpaWniDaqGhsZzzyiiir29PeLj\n4yVpVderSktLQ3x8PA4cOCA+GZOcnIzTp08jLy8Px44d+8v1AoD3338fRIQbN25Uu5YVf/2uqw81\ntBdpz7rcuXMHmZmZmD59Onr06IFWrVqhuLhYcv1V9VdTU1M0adIEOTk51dqvIpCnSufOnZGRkYFr\n166JaQcOHICmpibatWuncp9mzZrBzMwM0dHRYlpJSQni4uKeKwjzV1Vc9wsXLuDOnTuYP38+unTp\nAjs7OxQWFlbLHxUVhW3btuHw4cMoKipCUFBQvY7TunVrXLt2TXwKDHh2nSsHIdq1a4ecnBwYGRlV\na/vKgZCaymndujWAl/dZr0l5efnfZsYnxhhjjDH2dnnjAiEA8NNPP0GpVKJdu3bYvn070tPTkZWV\nhfDwcJw/f17lX2wra9WqFRITE7Fv3z5kZ2cjODgYR48elQRQJk6ciMWLFyMyMhKZmZmYNGkSCgoK\nagyy6OrqYvLkyZg8eTI2btyInJwcJCUlYfXq1Vi7dm29z61p06YQBAG7d+/GrVu3JMGekpISFBYW\noqCgABkZGRg/fjweP34MHx8fAMDgwYOhUCgwdOhQpKam4ujRoxg1ahQGDBgg3oBOmTIFISEh2L59\nO7KysjBr1izExcVh8uTJAIBNmzZh/fr1SElJQW5uLjZs2AANDQ20bNkSAGBjY4P4+Hjk5+fj9u3b\nL/wqw4QJExAdHY2QkBBkZ2dj/fr12LlzZ62BhHXr1qFt27bo0aMHHBwcxMXFxQUeHh5Yt27dC9UF\nkAbQ7OzsMHjwYPj7+yMyMhKXLl1CQkICQkJCxCc+6tOHGtKLtGddDA0N8c477yAsLAw5OTmIjY3F\n6NGjJZ8vExMTyOVy7Nu3D4WFhSgqKgIAzJ07F4sXL8by5cuRmZmJ1NRU/Oc//8HChQvFfYOCgtCz\nZ09x3cvLC46Ojhg6dCiSkpJw8OBBTJ06FSNHjoSOjg6AZzfv9vb22LlzJ4BnAYhJkyZh0aJF2LFj\nB1JTU+Hv7w9dXV0MGjRILLugoABJSUnIysoC8CyolpSUhHv37r1w+1RWcd2tra2hqamJlStX4tKl\nS9izZw9mzpwpyXvt2jV8+eWXWLBgAbp06YL//ve/WLlyJWJiYuo8jqenJ+zt7TF06FAkJyfj5MmT\nCAwMlFyTwYMHw9TUFL6+vjh69Chyc3Nx9OhRTJ48GTk5OWI+uVwOPz8/sZzRo0ejb9++aN68OYBn\nQabU1FRkZWXh9u3bzxUU8fDwwPTp08X1lStXYs+ePcjOzhb759KlS/HFF1/Uu0zGGGOMMcYazKsb\nmuSvKSgooIkTJ1KLFi1IU1OTdHR0qEOHDrRw4ULJYKEVUz1WVlpaSsOHDydDQ0MyMDCgESNG0Lx5\n86hZs2ZinqdPn1JgYCAZGBiQgYEBTZgwgb766qtaZ40hIlq5ciU5ODiQpqYmGRsbk5eXFx08eJCI\nng00KJPJqg0sWbWOwcHBZG5uTjKZTJw+19/fXzKVpZ6eHrm6ulJUVJSkrJSUFHH6XENDQwoICJAM\n9qhUKik4OJisrKxIQ0ODnJ2dJdPn7ty5kzp16kQGBgakra1NHTp0EGe9ISLKysqiTp06kUKhIJlM\nJk6fW/m8Dh8+TDKZTDI4qapz37Bhgzh1p4+PD4WEhJBcLidVnjx5QsbGxrRgwQKV2zds2EDa2tpU\nXFxc7fiq6lNV1UFgy8rKaM6cOWRra0saGhpkZmZGvr6+4pS19elDqvpHffpAQ7RnVXPmzKE2bdpU\nSz906BA5OTmRlpYWtWnTRpw5pfJUrevWrSNra2tSU1OTfD7Cw8Opbdu2pKWlRYaGhtS1a1eKiIiQ\ntE/l9iIiunz5MvXt25cUCgUZGRnRxIkTVQ42W/n4FfU3NzcnLS0tcnNzo7S0NMn2ytPBymQy8d/K\n5VQdLFVVm4wbN05yjkTPBqr917/+Ja5HRERQ8+bNSUtLi1xdXWn//v0kk8nEAX579uxJnp6ekjJm\nzpxJlpaWdPfuXapLVlYWde/enTQ1NcnOzo5+//33ateksLCQAgICyMTEhDQ1NalZs2Y0fPhwsQ/V\nNX0uEdGtW7fIy8uLdHV1xfrX9zvMxsZG/O4iIlq+fDk5OjqStrY26evrU7t27ejnn39WOZ0y3oDB\nM3l5uxYeLJUxxhh7O9X2M174/xkYe+UCAwNx6NAhJCcnv+6q/CNwez6fgIAA2NjYYPbs2a+7Kq/c\nnDlzEBkZiZSUlNddlWoEQQD/0GENSZgD0JxatgPgX4UYY4yxfx5BEGr8Gf/GDZbK/jmWLFkCT09P\n6Ojo4ODBg1izZg0WLFjwuqv1t8XtyRhjjDHGGGN/HQdC2Ctz9uxZLF26FEVFRbC1tcXChQsxYcKE\n112tv63a2tPR0bHGKW/DwsIwcODAhqzqG+t1DXZbYevWrRg9erTKbTY2Ni/tCQ5BEF77udZmTqX/\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XL8b27duRnp6OwMBA6OvrY9CgQWLZQ4cORUBAgLi+fPlycZxkZGQgJCQEO3fuxLhx41S2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\nDSGEEEIIIYQQQgjpNv4H+0xvzVtnSigAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x29487ff10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "reload(churn)\n",
    "churn.plotGridSearchMulti([('All', summ_all), ('Sub', summ_set)], True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>The above bar chart shows the cross-validation results of all algorithms testedand their respective hyper-parameter configurations. For convenience, we plotted two reference lines. The green line is just the LogLoss of our best classifier. The red line is the value of the best option plus 1 standard error of the mean of that option. The red line gives us the ability to choose a classifier using the 1-Standard Error rule, a generally good rule of thumb for being more conservative in one's selection. In our case here, the optimal option uses all of the data, but the option using the same algorithm and hyper-parmaters on less data is well within the 1-standard error here. When selecting a model, we generally want to promote parsimony (i.e., don't let things be more complex than they need to), so we'll go with the option that uses less data.  In the long-run, this could have multiple benefits: 1). cheaper to execute and maintain, 2). less over-fitting risk. <br><br>\n",
    "\n",
    "Now let us refit the model on the entire training set do evaluations on the test set.\n",
    "</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 404,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "GradientBoostingClassifier(init=None, learning_rate=0.01, loss='deviance',\n",
       "              max_depth=3, max_features=None, min_samples_leaf=1,\n",
       "              min_samples_split=2, n_estimators=500, random_state=None,\n",
       "              subsample=0.5, verbose=0)"
      ]
     },
     "execution_count": 404,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lab = 'churndep'\n",
    "best_model = GradientBoostingClassifier(n_estimators = 500, max_depth = 3, learning_rate = 0.01, subsample = 0.5)\n",
    "best_model.fit(train_subset.drop(lab, 1), train_subset[lab])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##Evaluation\n",
    "<p>We discussed above that our core metric here will be LogLoss. This worked well for model selection, however, simply looking at the value of the LogLoss metric without any reference points isn't always helpful. Our main motivation for using LogLoss was that we ultimately want good estimates of churn probabilities. One tool for understanding how well we achieved this goal is the probability calibration plot. Our evaluation plan will be to start with calibration plots. For additional insight into our model capabilities, we'll also produce a lift chart. The lift chart is a good evaluation tool that is fairly accessible to non data scientists.\n",
    "\n",
    "\n",
    "</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 405,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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rcfz4cXh5eUldDhERkcvLzs6GVqvFsWPH4OnpKXU5ZnHcdpyIyMlcuzb8r+Sr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\nZXuA3AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ad44c90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "preds_train = best_model.predict_proba(train_subset.drop(lab,1))[:, 1]\n",
    "preds_test = best_model.predict_proba(test_subset.drop(lab,1))[:, 1]\n",
    "\n",
    "val.plotCalib(train_subset[lab].values.ravel(), preds_train, bins = 30, f = 4, l = 'Train', w = 16, h = 8, \n",
    "                fig_i = 1, fig_j = 2, fig_k = 1)\n",
    "\n",
    "val.plotCalib(test_subset[lab].values.ravel(), preds_test, bins = 30, f = 4, l = 'Test', w = 16, h = 8, \n",
    "                fig_i = 1, fig_j = 2, fig_k = 2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>\n",
    "\n",
    "<i><b>Interpreting the calibration plots</b></i>\n",
    "<br><br>\n",
    "Remember, the point of the calibration plot is to understand whether or not our probability predictions actually result in probabilities that are near the prediction. Because we want to use our model predictions to estimate expected values, we want the calibration plot to be as close to the identity line as possible. Our main focus should be on the right chart above, which shows results for our out of sample dataset. The dominant trend we see here is that for the extremes (lower and higher estimated probabilities), our estimator tends to be more conservative. I.e., it underestimates the higher probabilities and overestimates the lower probabilities. We plot the 95% confidence intervals of the empirical probabilities (y-axis), and most of these overlap with the identity line. However, this might just be driven by sample size. We can see the same trend in the training, where the sample sizes are sufficient. <br><br>\n",
    "\n",
    "<i>What should we do about this?</i><br><br>\n",
    "\n",
    "When model calibration is an issue, we can deploy one of two tools to correct the problem. The first is a non-parametric method called Isotonic Regression, and the other is a parametric method called the Platt Correction. More details of these methods (in sklearn) can be found <a href=\"http://scikit-learn.org/stable/modules/calibration.html#calibration\">here</a>. Because our calibration error here is very mild, we'll hold off on running these corrections for now. This topic will be shelved in our 'further research' to-do list.  <br><br>\n",
    "\n",
    "We'll now make a secondary evaluation using lift and recall curves. These curves can help us answer other questions about our model, and they are generally accessible to non data scientists.\n",
    "\n",
    "</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 428,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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SugZLAbElxHkQP4PYpOpqJFXPWV0lSQLMRKWwEYdKTIP4KMTtEC+puhpJkiSp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\nVCXVgbO6SsMuNsiT//wNxH9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      "text/plain": [
       "<matplotlib.figure.Figure at 0x12ef415d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lt = val.liftRecallCurve(pred, truth, 50, h = 5, w = 15, \n",
    "                         title = 'Out of Sample Lift and Recall Curve for our Best Model')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>\n",
    "\n",
    "<i><b>Interpreting the lift and recall plots</b></i>\n",
    "<br><br>\n",
    "These plots look pretty normal and they don't suggest any major hiccups or issues with our model. Apart from being diagnostic, they can help answer questions that might come up when we apply our model. For instance, if we wanted to design an intervention for the most at-risk churners, we'll of course need to choose a cut-off point. There are advanced ways to do this (we'll discuss this later), but one could be to reach out to the at-risk churners subject to some budget constraint. For instance, we might have a call center that can reach out to 20% of the customer base up for renewal. If we chose our cut-off as the top 20%, then with the recall plot we could see that we'd be reaching about 34% of the would be churners. Using the lift curve, we could say that this would make us about 36% more efficient at reaching would be churners than if we had just randomly reached out to people. \n",
    "</p>\n",
    "\n",
    "##Deployment\n",
    "\n",
    "<p>Since this is a case study motivated by a single, static dataset, we cannot actually deploy our churn prediction model. However, we can certainly consider how we might intend to put the model to use. There are many important considerations when deploying a prediction model in an industrial application. They two we'll discuss specifically are:\n",
    "\n",
    "<ul>\n",
    "    <li>How do we incorporate model output into a decision making framework?</li>\n",
    "    <li>How might we implement the model to support production level systems?</li>\n",
    "</ul>\n",
    "\n",
    "<br><br>\n",
    "<i><b>An Expected Value Framework for Churn Reduction</b></i>\n",
    "<br><br>\n",
    "The most important point to remember when doing data science is that a great prediction model doesn't alone solve our problem. Ultimately, the value we get from data and analytics comes from doing things differently because of that very data and analytics. One common way to use a model in churn reduction is to proactively reach out to at-risk customers with some form of an intervention strategy. Example interventions might include a personalized call from a customer service rep or an email with some targeted message. Beyond establishing a conversation with the customer, our interventions might likely include some special offer or discount that reduces the financial obligations of the customer. <br><br>\n",
    "\n",
    "It is pretty likely that any of our intervention strategies would come with some form of risk. Example costs that we might occur are: 1). the expense of calling someone from a call center, 2). annoying a user with too much email, 3). giving someone a discount or special offer when they indeed had no intention to churn. While all of these are important, the last point is likely the one that could have the biggest impact on overall revenues. We need to design a logical system here to choose when and when not to intervene. We can use expected values to design such a system. \n",
    "<br><br>\n",
    "The two main ingredients to our expected value formulation are the likelihood of the customer churning, and the expected lifetime value of the customer if (s)he should not churn. We'll call these $P(Y=1|X)$ and $E[LTV|X, Y=0]$. Note that we defined these conditional on the user attributes $X$, as this is how our churn prediction model is defined. Now let's define a variable $A \\in \\{0,1\\}$, where $A=1$ means we perform an intervention, and $A=0$ means we don't. <br><br>\n",
    "\n",
    "Our goal here is to maximize the expected lifetime value of each customer. For now, we have one decision lever - to intervene or not. From here, the decision apparatus is quite simple: intervene if doing so results in a higher expected value for the customer! In more formal terms, on each user with features $X=x$, intervene if:<br><br>\n",
    "\n",
    "<center>$(1 - P(Y=1|X=x, A=1))*E[LTV|X=x, Y=0, A=1] > (1 - P(Y=1|X=x, A=0))*E[LTV|X=x, Y=0, A=0]$</center>\n",
    "\n",
    "<br><br>\n",
    "Defining this decision rule both formally and informally is quite straightforward. Actually estimating it on the other hand is actually not at all straightforward. Our churn model (the focus of all of the above analysis), takes care of the quantity $P(Y=1|X, A=0)$, but will this estimate reflect churn probabilities if we decide to intervene? Sadly, the answer is likely no. To get an accurate estimate of $P(Y=1|X=x, A=1)$, we need to actually intervene on a set of users and test the effect of the intervention. This basically suggests we should design a controlled experiment and spend some resources collecting the appropriate data (see, the modeling is just one part of the process). <br><br>\n",
    "\n",
    "Additionally, we need to estimate accurate lifetime values (for now, we'll fold the cost of the intervention into the LTV). This is a highly non-trivial task, and doing it in a timely manner might require making many simplyfying assumptions. As this step is out of scope for this case study, we'll leave it as a discussion point. But for any reader deploying such a system in a real company, this is certainly a step that shouldn't be ignored.<br><br>\n",
    "\n",
    "\n",
    "<i><b>A Simple Production Scoring Architecture</b></i><br><br>\n",
    "\n",
    "Every deployed prediction modeling system has at least two components. These are the training module as well as the scoring module. Remember, it is through the application of the model that data and predictive analytics will add value, so the scoring system is critical to get right. Firms often have to make a decision whether or not to automate a modeling and scoring system. The right answer is ultimately company and project specific, but let's assume that for our company here we're interested in tackling the scoring system first. <br><br>\n",
    "\n",
    "Before writing any production code, we'll want to design a basic architecture for the system. In doing this, we'll want to specify the data dependencies, the data schemas and the process flows. We need to start by understanding and articulating our use cases. Given a working churn prediction model, we need a system that can support two cases: 1). periodically create lists of at-risk churners for proactive outreach, 2). look up churn risk for in-bound call center requests. An example of such an architecture is here:\n",
    "\n",
    "\n",
    "</p>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 431,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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CuhfyCIbsiwnYP3/sC86aazNg3JD+K36yyT6XElffHhxhV67ZpI0XUOao6dOm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\njEV/yYK/UhXocWbpNeOEsG8kjtPQxjxbLVS3dUfuzL8/kjk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ULV++fNSoUQsXLmzbtm2D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\ndH+Wcc3bPAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 431,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='references/churn_scoring_architecture.png') "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>Here is a quick description of each component in the above:<br>\n",
    "<ul>\n",
    "    <li>Activity Logs & User Info - These are the raw data systems that will ultimately be processed into modelable features</li>\n",
    "    <li>Feature Engineering Pipeline - This is the code that transforms raw log and data base information into structured model features. This pipeline should be identical to that used in the training phases</li>\n",
    "    <li>Churn Model DB - This is a data store that holds the actual prediction models (whether they be coefficients of a logistic regression, rules from a decision tree or python classifier objects)</li>\n",
    "    <li>Scoring Module - This module takes in structured features of a user and a model to produce a prediction.</li>\n",
    "    <li>User Churn Scores - This is a database that holds the most recently updated user churn prediction score.</li>\n",
    "</ul>\n",
    "<br>\n",
    "At this stage of implementation a lot of decisions will have to be made, such as, do we need to score users in real time or will some periodic batch update suffice? These are all application specific, but they do have implications for how the system and schemas are designed (not to mention what data storage systems will be used). <br><br>\n",
    "\n",
    "<i>Extending our system</i><br><br>\n",
    "\n",
    "Let's assume we're working for a truly agile company and we build things iteratively and as truly needed. Based on our research we had a working and validated model. Our first deployment project was to build the system that automatically scores users and stores the scores in a database. After a few successful months of using our system, we might decide that we need to update the prediction model. This is something that of course can always be done manually (repeating everything from above), but it is also worth considering building an automated system for doing so. This investment will ultimately free up research time for exploring new problems, or making the churn models even better. <br><br>\n",
    "\n",
    "Here is an example architecture where we extend the scoring system to include model updating. \n",
    "\n",
    "</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 432,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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xeE+UenXVr21dBlwOkX1wVapInn6VClAik4SJurJ2CjLEMKcXnXylRM5MSVPi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Rcc7Pd++cOtFx7zrSqIPLxu0it9cPLVN5acKAyAvef9bm9/t2bZx88Fdpq1Jx1e/DZ8/EJAYEhA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\nwFoqRC0ruHrwH2RpPbCeK78J1ZJzdHSyk1oqbK3tw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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 432,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='references/churn_architecture.png') "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>This extension should be fairly cheap, as we have already built out the feature engineering pipeline that performs much of the data processing. One interesting implication of the above design is that we need to automate a lot of the decision making above that we originally did manually. This is out of the scope of this case study, but this is one of the most exciting areas of industrial data science research!\n",
    "\n",
    "\n",
    "</p>\n",
    "\n",
    "##Wrap Up\n",
    "\n",
    "<p>We have said a lot already, so this will be short! In this case study we tried to be thorough enough to cover all stages of defining, building and using a data science product in an industrial setting. Of course, an entire course can be taught on every element of this case study, so invariably, certain details have been left out. If you feel you have any suggestions on how to improve this case study, feel free to reach out at: briand at gmail dot com.\n",
    "\n",
    "</p>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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